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230154432 = 26317107659
BaseRepresentation
bin11011011011111…
…10000011000000
3121001002001112020
431231332003000
5432404420212
634501001440
75463165114
oct1555760300
9531061466
10230154432
11108a09482
12650b3280
13388b4671
14227d1744
1515313d8c
hexdb7e0c0

230154432 has 112 divisors (see below), whose sum is σ = 651784320. Its totient is φ = 71421952.

The previous prime is 230154409. The next prime is 230154433. The reversal of 230154432 is 234451032.

230154432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230154433) 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, 348919 + ... + 349577.

Almost surely, 2230154432 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 230154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325892160).

230154432 is an abundant number, since it is smaller than the sum of its proper divisors (421629888).

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

230154432 is a wasteful number, since it uses less digits than its factorization.

230154432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 230154432 is about 15170.8415059943. The cubic root of 230154432 is about 612.8296663189.

The spelling of 230154432 in words is "two hundred thirty million, one hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 107 136 192 204 214 272 321 408 428 544 642 659 816 856 1088 1284 1318 1632 1712 1819 1977 2568 2636 3264 3424 3638 3954 5136 5272 5457 6848 7276 7908 10272 10544 10914 11203 14552 15816 20544 21088 21828 22406 29104 31632 33609 42176 43656 44812 58208 63264 67218 70513 87312 89624 116416 126528 134436 141026 174624 179248 211539 268872 282052 349248 358496 423078 537744 564104 716992 846156 1075488 1128208 1198721 1692312 2150976 2256416 2397442 3384624 3596163 4512832 4794884 6769248 7192326 9589768 13538496 14384652 19179536 28769304 38359072 57538608 76718144 115077216 230154432