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232226260656351 = 31317755114638607
BaseRepresentation
bin110100110011010101100011…
…110001100010000011011111
31010110020121120101111220201220
4310303111203301202003133
5220414243340212000401
62141523134340504423
766625536140245323
oct6463254361420337
91113217511456656
10232226260656351
1167aa3671018165
12220670089ab113
139c76ac4a28c70
14414bb4d4c7983
151bcab109aa336
hexd33563c620df

232226260656351 has 32 divisors (see below), whose sum is σ = 353072731834368. Its totient is φ = 134500277399040.

The previous prime is 232226260656349. The next prime is 232226260656361. The reversal of 232226260656351 is 153656062622232.

It is not a de Polignac number, because 232226260656351 - 21 = 232226260656349 is a prime.

It is a super-2 number, since 2×2322262606563512 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 232226260656294 and 232226260656303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232226260656361) 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, 47744490 + ... + 52383096.

It is an arithmetic number, because the mean of its divisors is an integer number (11033522869824).

Almost surely, 2232226260656351 is an apocalyptic number.

232226260656351 is a deficient number, since it is larger than the sum of its proper divisors (120846471178017).

232226260656351 is a wasteful number, since it uses less digits than its factorization.

232226260656351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714151.

The product of its (nonzero) digits is 9331200, while the sum is 51.

The spelling of 232226260656351 in words is "two hundred thirty-two trillion, two hundred twenty-six billion, two hundred sixty million, six hundred fifty-six thousand, three hundred fifty-one".

Divisors: 1 3 13 17 39 51 221 663 75511 226533 981643 1283687 2944929 3851061 4638607 13915821 16687931 50063793 60301891 78856319 180905673 236568957 1025132147 3075396441 350265853177 1050797559531 4553456091301 5954519504009 13660368273903 17863558512027 77408753552117 232226260656351