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225632357523 = 32172364118317
BaseRepresentation
bin1101001000100010111…
…1001000110010010011
3210120101201002100202100
43102020233020302103
512144043340420043
6251353140251443
722205244252216
oct3221057106223
9716351070670
10225632357523
1187765646851
123788b9a0b83
131837a870331
14acc643577d
155d08906cd3
hex3488bc8c93

225632357523 has 24 divisors (see below), whose sum is σ = 360088473888. Its totient is φ = 135417883392.

The previous prime is 225632357519. The next prime is 225632357773. The reversal of 225632357523 is 325753236522.

It is a happy number.

225632357523 is a `hidden beast` number, since 2 + 2 + 5 + 632 + 3 + 5 + 7 + 5 + 2 + 3 = 666.

It is not a de Polignac number, because 225632357523 - 22 = 225632357519 is a prime.

It is a super-2 number, since 2×2256323575232 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225632357323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32055640 + ... + 32062677.

It is an arithmetic number, because the mean of its divisors is an integer number (15003686412).

Almost surely, 2225632357523 is an apocalyptic number.

225632357523 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

225632357523 is a deficient number, since it is larger than the sum of its proper divisors (134456116365).

225632357523 is a wasteful number, since it uses less digits than its factorization.

225632357523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64118363 (or 64118360 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 45.

The spelling of 225632357523 in words is "two hundred twenty-five billion, six hundred thirty-two million, three hundred fifty-seven thousand, five hundred twenty-three".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3519 64118317 192354951 577064853 1090011389 1474721291 3270034167 4424163873 9810102501 13272491619 25070261947 75210785841 225632357523