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230591872 = 277416277
BaseRepresentation
bin11011011111010…
…00110110000000
3121001220021120201
431233220312000
5433012414442
634514214544
75466666340
oct1557506600
9531807521
10230591872
111091880a5
1265284454
1338a087c4
14228a6d20
151539d7b7
hexdbe8d80

230591872 has 64 divisors (see below), whose sum is σ = 537899040. Its totient is φ = 96399360.

The previous prime is 230591869. The next prime is 230591897. The reversal of 230591872 is 278195032.

230591872 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2305918722 = 106345222864928768, which contains 22 as substring.

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, 33598 + ... + 39874.

Almost surely, 2230591872 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 230591872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268949520).

230591872 is an abundant number, since it is smaller than the sum of its proper divisors (307307168).

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

230591872 is an equidigital number, since it uses as much as digits as its factorization.

230591872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 230591872 is about 15185.2517924465. The cubic root of 230591872 is about 613.2176761543.

The spelling of 230591872 in words is "two hundred thirty million, five hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 2296 2624 4592 5248 6277 9184 12554 18368 25108 36736 43939 50216 87878 100432 175756 200864 257357 351512 401728 514714 703024 803456 1029428 1406048 1801499 2058856 2812096 3602998 4117712 5624192 7205996 8235424 14411992 16470848 28823984 32941696 57647968 115295936 230591872