Search a number
-
+
222231440420 = 2251123367119671
BaseRepresentation
bin1100111011111000000…
…1101010110000100100
3210020121200122212112122
43032332001222300210
512120112222043140
6250031451005112
722025050035053
oct3167601526044
9706550585478
10222231440420
118627a944460
12370a0a39798
1317c580b5c52
14aa828aa39a
155baa06cab5
hex33be06ac24

222231440420 has 96 divisors (see below), whose sum is σ = 532699324416. Its totient is φ = 77086627200.

The previous prime is 222231440413. The next prime is 222231440423. The reversal of 222231440420 is 24044132222.

It is a super-2 number, since 2×2222314404202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222231440420.

It is not an unprimeable number, because it can be changed into a prime (222231440423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797185 + ... + 1916855.

It is an arithmetic number, because the mean of its divisors is an integer number (5548951296).

Almost surely, 2222231440420 is an apocalyptic number.

222231440420 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 222231440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266349662208).

222231440420 is an abundant number, since it is smaller than the sum of its proper divisors (310467883996).

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

222231440420 is a wasteful number, since it uses less digits than its factorization.

222231440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120081 (or 120079 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 222231440420 its reverse (24044132222), we get a palindrome (246275572642).

The spelling of 222231440420 in words is "two hundred twenty-two billion, two hundred thirty-one million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 367 460 506 734 1012 1265 1468 1835 2530 3670 4037 5060 7340 8074 8441 16148 16882 20185 33764 40370 42205 80740 84410 92851 119671 168820 185702 239342 371404 464255 478684 598355 928510 1196710 1316381 1857020 2393420 2632762 2752433 5265524 5504866 6581905 11009732 13163810 13762165 26327620 27524330 30276763 43919257 55048660 60553526 87838514 121107052 151383815 175677028 219596285 302767630 439192570 483111827 605535260 878385140 966223654 1010142911 1932447308 2020285822 2415559135 4040571644 4831118270 5050714555 9662236540 10101429110 11111572021 20202858220 22223144042 44446288084 55557860105 111115720210 222231440420