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230995632 = 24373167331
BaseRepresentation
bin11011100010010…
…11011010110000
3121002122210102210
431301023122300
5433113330012
634531012120
75503300440
oct1561133260
9532583383
10230995632
1110943348a
126543a040
1338b1a50a
1422970120
151542d23c
hexdc4b6b0

230995632 has 160 divisors (see below), whose sum is σ = 716652544. Its totient is φ = 62726400.

The previous prime is 230995631. The next prime is 230995657. The reversal of 230995632 is 236599032.

230995632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230995631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697707 + ... + 698037.

Almost surely, 2230995632 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 230995632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358326272).

230995632 is an abundant number, since it is smaller than the sum of its proper divisors (485656912).

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

230995632 is a wasteful number, since it uses less digits than its factorization.

230995632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 230995632 is about 15198.5404562412. The cubic root of 230995632 is about 613.5753765333.

The spelling of 230995632 in words is "two hundred thirty million, nine hundred ninety-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 67 84 93 112 124 134 168 186 201 217 248 268 331 336 372 402 434 469 496 536 651 662 744 804 868 938 993 1072 1302 1324 1407 1488 1608 1736 1876 1986 2077 2317 2604 2648 2814 3216 3472 3752 3972 4154 4634 5208 5296 5628 6231 6951 7504 7944 8308 9268 10261 10416 11256 12462 13902 14539 15888 16616 18536 20522 22177 22512 24924 27804 29078 30783 33232 37072 41044 43617 44354 49848 55608 58156 61566 66531 71827 82088 87234 88708 99696 111216 116312 123132 133062 143654 155239 164176 174468 177416 215481 232624 246264 266124 287308 310478 348936 354832 430962 465717 492528 532248 574616 620956 687487 697872 861924 931434 1064496 1149232 1241912 1374974 1723848 1862868 2062461 2483824 2749948 3447696 3725736 4124922 4812409 5499896 7451472 8249844 9624818 10999792 14437227 16499688 19249636 28874454 32999376 38499272 57748908 76998544 115497816 230995632