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222340422120040 = 23575472092169389
BaseRepresentation
bin110010100011011110101001…
…111000010011001001101000
31002011020112111022012220021101
4302203132221320103021220
5213120311141030320130
62104513440240051144
764555364634201460
oct6243365170231150
91064215438186241
10222340422120040
116493205297a544
1220b2b091603ab4
13970a7c52a2ab3
143cc9496122ba0
151aa88b817b1ca
hexca37a9e13268

222340422120040 has 128 divisors (see below), whose sum is σ = 572813361964800. Its totient is φ = 76086906255360.

The previous prime is 222340422120031. The next prime is 222340422120049. The reversal of 222340422120040 is 40021224043222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222340422120031) and next prime (222340422120049).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 222340422119990 and 222340422120008.

It is not an unprimeable number, because it can be changed into a prime (222340422120049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3204225666 + ... + 3204295054.

It is an arithmetic number, because the mean of its divisors is an integer number (4475104390350).

Almost surely, 2222340422120040 is an apocalyptic number.

222340422120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222340422120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286406680982400).

222340422120040 is an abundant number, since it is smaller than the sum of its proper divisors (350472939844760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222340422120040 is a wasteful number, since it uses less digits than its factorization.

222340422120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90875 (or 90871 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 222340422120040 its reverse (40021224043222), we get a palindrome (262361646163262).

The spelling of 222340422120040 in words is "two hundred twenty-two trillion, three hundred forty billion, four hundred twenty-two million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 547 1094 2188 2735 3829 4376 5470 7658 10940 15316 19145 20921 21880 30632 38290 41842 69389 76580 83684 104605 138778 146447 153160 167368 209210 277556 292894 346945 418420 485723 555112 585788 693890 732235 836840 971446 1171576 1387780 1464470 1942892 2428615 2775560 2928940 3885784 4857230 5857880 9714460 11443787 19428920 22887574 37955783 45775148 57218935 75911566 80106509 91550296 114437870 151823132 160213018 189778915 228875740 265690481 303646264 320426036 379557830 400532545 457751480 531380962 640852072 759115660 801065090 1062761924 1328452405 1451687269 1518231320 1602130180 2125523848 2656904810 2903374538 3204260360 5313809620 5806749076 7258436345 10161810883 10627619240 11613498152 14516872690 20323621766 29033745380 40647243532 50809054415 58067490760 81294487064 101618108830 203236217660 406472435320 794072936143 1588145872286 3176291744572 3970364680715 5558510553001 6352583489144 7940729361430 11117021106002 15881458722860 22234042212004 27792552765005 31762917445720 44468084424008 55585105530010 111170211060020 222340422120040