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232265106 = 23222815657
BaseRepresentation
bin11011101100000…
…01010110010010
3121012001021211100
431312001112102
5433424440411
635014125230
75520135513
oct1566012622
9535037740
10232265106
1110a120237
1265950816
1339173298
1422bc0a0a
15155ce456
hexdd81592

232265106 has 24 divisors (see below), whose sum is σ = 503550684. Its totient is φ = 77374080.

The previous prime is 232265083. The next prime is 232265107. The reversal of 232265106 is 601562232.

232265106 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 651 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224730081 + 7535025 = 14991^2 + 2745^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232265106.

It is not an unprimeable number, because it can be changed into a prime (232265107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38230 + ... + 43886.

Almost surely, 2232265106 is an apocalyptic number.

232265106 is an abundant number, since it is smaller than the sum of its proper divisors (271285578).

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

232265106 is a wasteful number, since it uses less digits than its factorization.

232265106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 232265106 is about 15240.2462578529. The cubic root of 232265106 is about 614.6973247873.

The spelling of 232265106 in words is "two hundred thirty-two million, two hundred sixty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 2281 4562 5657 6843 11314 13686 16971 20529 33942 41058 50913 101826 12903617 25807234 38710851 77421702 116132553 232265106