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232365252 = 223721912069
BaseRepresentation
bin11011101100110…
…01110011000100
3121012020101012110
431312121303010
5433441142002
635020221020
75521033500
oct1566316304
9535211173
10232365252
1110a1894a9
126599a770
13391a9a42
1422c09300
15155ede6c
hexdd99cc4

232365252 has 72 divisors (see below), whose sum is σ = 634314240. Its totient is φ = 66010560.

The previous prime is 232365241. The next prime is 232365257. The reversal of 232365252 is 252563232.

It is a super-2 number, since 2×2323652522 = 107987220674047008, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (232365257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111274 + ... + 113342.

It is an arithmetic number, because the mean of its divisors is an integer number (8809920).

Almost surely, 2232365252 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 232365252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317157120).

232365252 is an abundant number, since it is smaller than the sum of its proper divisors (401948988).

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

232365252 is a wasteful number, since it uses less digits than its factorization.

232365252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2272 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 232365252 is about 15243.5314805986. The cubic root of 232365252 is about 614.7856586657.

The spelling of 232365252 in words is "two hundred thirty-two million, three hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 191 196 294 382 573 588 764 1146 1337 2069 2292 2674 4011 4138 5348 6207 8022 8276 9359 12414 14483 16044 18718 24828 28077 28966 37436 43449 56154 57932 86898 101381 112308 173796 202762 304143 395179 405524 608286 790358 1185537 1216572 1580716 2371074 2766253 4742148 5532506 8298759 11065012 16597518 19363771 33195036 38727542 58091313 77455084 116182626 232365252