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230270432 = 2574125073
BaseRepresentation
bin11011011100110…
…10010111100000
3121001021221122112
431232122113200
5432422123212
634503254452
75464160240
oct1556322740
9531257575
10230270432
11108a88647
126514a428
13389253c2
1422821b20
1515338422
hexdb9a5e0

230270432 has 48 divisors (see below), whose sum is σ = 530766432. Its totient is φ = 96276480.

The previous prime is 230270429. The next prime is 230270441. The reversal of 230270432 is 234072032.

It is a junction number, because it is equal to n+sod(n) for n = 230270398 and 230270407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3353 + ... + 21720.

It is an arithmetic number, because the mean of its divisors is an integer number (11057634).

Almost surely, 2230270432 is an apocalyptic number.

It is an amenable number.

230270432 is an abundant number, since it is smaller than the sum of its proper divisors (300496000).

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

230270432 is a wasteful number, since it uses less digits than its factorization.

230270432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25131 (or 25123 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 230270432 is about 15174.6641478485. The cubic root of 230270432 is about 612.9326063333.

The spelling of 230270432 in words is "two hundred thirty million, two hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 25073 50146 100292 175511 200584 351022 401168 702044 802336 1027993 1404088 2055986 2808176 4111972 5616352 7195951 8223944 14391902 16447888 28783804 32895776 57567608 115135216 230270432