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232972936 = 23731672003
BaseRepresentation
bin11011110001011…
…10001010001000
3121020101020210021
431320232022020
5434120113221
635041230224
75526144250
oct1570561210
9536336707
10232972936
1110a564019
1266032374
1339360511
1422d26960
15156be041
hexde2e288

232972936 has 64 divisors (see below), whose sum is σ = 523284480. Its totient is φ = 95135040.

The previous prime is 232972931. The next prime is 232972997. The reversal of 232972936 is 639279232.

It is a junction number, because it is equal to n+sod(n) for n = 232972892 and 232972901.

It is not an unprimeable number, because it can be changed into a prime (232972931) 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 15 ways as a sum of consecutive naturals, for example, 115311 + ... + 117313.

It is an arithmetic number, because the mean of its divisors is an integer number (8176320).

Almost surely, 2232972936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232972936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261642240).

232972936 is an abundant number, since it is smaller than the sum of its proper divisors (290311544).

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

232972936 is a wasteful number, since it uses less digits than its factorization.

232972936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2110 counting only the distinct ones).

The product of its digits is 244944, while the sum is 43.

The square root of 232972936 is about 15263.4509859337. The cubic root of 232972936 is about 615.3211234142.

The spelling of 232972936 in words is "two hundred thirty-two million, nine hundred seventy-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 67 124 134 217 248 268 434 469 536 868 938 1736 1876 2003 2077 3752 4006 4154 8012 8308 14021 14539 16024 16616 28042 29078 56084 58156 62093 112168 116312 124186 134201 248372 268402 434651 496744 536804 869302 939407 1073608 1738604 1878814 3477208 3757628 4160231 7515256 8320462 16640924 29121617 33281848 58243234 116486468 232972936