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230938032 = 243132316091
BaseRepresentation
bin11011100001111…
…01010110110000
3121002112212102110
431300331112300
5433110004112
634525445320
75502640503
oct1560752660
9532485373
10230938032
111093a4186
1265410840
1338aca230
142295713a
151541b13c
hexdc3d5b0

230938032 has 80 divisors (see below), whose sum is σ = 670457088. Its totient is φ = 67964160.

The previous prime is 230938031. The next prime is 230938033. The reversal of 230938032 is 230839032.

It is an interprime number because it is at equal distance from previous prime (230938031) and next prime (230938033).

It is not an unprimeable number, because it can be changed into a prime (230938031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6307 + ... + 22397.

Almost surely, 2230938032 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 230938032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335228544).

230938032 is an abundant number, since it is smaller than the sum of its proper divisors (439519056).

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

230938032 is a wasteful number, since it uses less digits than its factorization.

230938032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16138 (or 16132 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 230938032 is about 15196.6454193022. The cubic root of 230938032 is about 613.5243728565.

It can be divided in two parts, 23093 and 8032, that added together give a triangular number (31125 = T249).

The spelling of 230938032 in words is "two hundred thirty million, nine hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 14352 16091 32182 48273 64364 96546 128728 193092 209183 257456 370093 386184 418366 627549 740186 772368 836732 1110279 1255098 1480372 1673464 2220558 2510196 2960744 3346928 4441116 4811209 5020392 5921488 8882232 9622418 10040784 14433627 17764464 19244836 28867254 38489672 57734508 76979344 115469016 230938032