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22222742240 = 2556712131709
BaseRepresentation
bin10100101100100101…
…000010001011100000
32010100202000021101102
4110230211002023200
5331003010222430
614113050253532
71414462122656
oct245445021340
963322007342
1022222742240
119474182186
1243824272a8
13213203c92a
14110b5a2dd6
158a0e7b345
hex52c9422e0

22222742240 has 96 divisors (see below), whose sum is σ = 53359961760. Its totient is φ = 8744085504.

The previous prime is 22222742149. The next prime is 22222742273. The reversal of 22222742240 is 4224722222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13002506 + ... + 13004214.

It is an arithmetic number, because the mean of its divisors is an integer number (555832935).

Almost surely, 222222742240 is an apocalyptic number.

22222742240 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 22222742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26679980880).

22222742240 is an abundant number, since it is smaller than the sum of its proper divisors (31137219520).

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

22222742240 is a wasteful number, since it uses less digits than its factorization.

22222742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 29.

The spelling of 22222742240 in words is "twenty-two billion, two hundred twenty-two million, seven hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1213 1340 1709 2144 2426 2680 3418 4852 5360 6065 6836 8545 9704 10720 12130 13672 17090 19408 24260 27344 34180 38816 48520 54688 68360 81271 97040 114503 136720 162542 194080 229006 273440 325084 406355 458012 572515 650168 812710 916024 1145030 1300336 1625420 1832048 2073017 2290060 2600672 3250840 3664096 4146034 4580120 6501680 8292068 9160240 10365085 13003360 16584136 18320480 20730170 33168272 41460340 66336544 82920680 138892139 165841360 277784278 331682720 555568556 694460695 1111137112 1388921390 2222274224 2777842780 4444548448 5555685560 11111371120 22222742240