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230655984 = 24313794679
BaseRepresentation
bin11011011111110…
…00011111110000
3121002000112112020
431233320133300
5433021442414
634515431440
75500354266
oct1557703760
9532015466
10230655984
11109221289
12652b5580
1338a2ba40
14228c2436
15153b27a9
hexdbf87f0

230655984 has 80 divisors (see below), whose sum is σ = 649958400. Its totient is φ = 70057728.

The previous prime is 230655977. The next prime is 230656007. The reversal of 230655984 is 489556032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46957 + ... + 51635.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480).

Almost surely, 2230655984 is an apocalyptic number.

230655984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230655984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

230655984 is an abundant number, since it is smaller than the sum of its proper divisors (419302416).

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

230655984 is a wasteful number, since it uses less digits than its factorization.

230655984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 230655984 is about 15187.3626413542. The cubic root of 230655984 is about 613.2745023386.

The spelling of 230655984 in words is "two hundred thirty million, six hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 208 237 312 316 474 624 632 948 1027 1264 1896 2054 3081 3792 4108 4679 6162 8216 9358 12324 14037 16432 18716 24648 28074 37432 49296 56148 60827 74864 112296 121654 182481 224592 243308 364962 369641 486616 729924 739282 973232 1108923 1459848 1478564 2217846 2919696 2957128 4435692 4805333 5914256 8871384 9610666 14415999 17742768 19221332 28831998 38442664 57663996 76885328 115327992 230655984