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232222011214120 = 235121713109363901
BaseRepresentation
bin110100110011010001100110…
…011111001100100100101000
31010110020012121020102212212121
4310303101212133030210220
5220414211134332322440
62141521152540321024
766625325630502034
oct6463214637144450
91113205536385777
10232222011214120
1167aa1890351334
1222066221843174
139c7659852b9c5
14414b868da11c4
151bca9628b134a
hexd334667cc928

232222011214120 has 64 divisors (see below), whose sum is σ = 522970187216400. Its totient is φ = 92805143347200.

The previous prime is 232222011214043. The next prime is 232222011214139. The reversal of 232222011214120 is 21412110222232.

It can be written as a sum of positive squares in 8 ways, for example, as 60737800554916 + 171484210659204 = 7793446^2 + 13095198^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 637964170 + ... + 638328070.

Almost surely, 2232222011214120 is an apocalyptic number.

232222011214120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232222011214120 is an abundant number, since it is smaller than the sum of its proper divisors (290748176002280).

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

232222011214120 is a wasteful number, since it uses less digits than its factorization.

232222011214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378238 (or 378234 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 232222011214120 its reverse (21412110222232), we get a palindrome (253634121436352).

The spelling of 232222011214120 in words is "two hundred thirty-two trillion, two hundred twenty-two billion, eleven million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1217 2434 4868 6085 9736 12170 13109 24340 26218 48680 52436 65545 104872 131090 262180 363901 524360 727802 1455604 1819505 2911208 3639010 7278020 14556040 15953653 31907306 63814612 79768265 127629224 159536530 319073060 442867517 638146120 885735034 1771470068 2214337585 3542940136 4428675170 4770378209 8857350340 9540756418 17714700680 19081512836 23851891045 38163025672 47703782090 95407564180 190815128360 5805550280353 11611100560706 23222201121412 29027751401765 46444402242824 58055502803530 116111005607060 232222011214120