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230593152 = 2732920707
BaseRepresentation
bin11011011111010…
…01001010000000
3121001220100100010
431233221022000
5433012440102
634514224520
75500003146
oct1557511200
9531810303
10230593152
11109189059
1265285140
1338a0926a
14228a7596
151539dd6c
hexdbe9280

230593152 has 64 divisors (see below), whose sum is σ = 633664800. Its totient is φ = 74210304.

The previous prime is 230593141. The next prime is 230593169. The reversal of 230593152 is 251395032.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783 + ... + 21489.

Almost surely, 2230593152 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 230593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316832400).

230593152 is an abundant number, since it is smaller than the sum of its proper divisors (403071648).

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

230593152 is a wasteful number, since it uses less digits than its factorization.

230593152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20753 (or 20741 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 230593152 is about 15185.2939385446. The cubic root of 230593152 is about 613.2188107956.

The spelling of 230593152 in words is "two hundred thirty million, five hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 20707 41414 62121 82828 124242 165656 248484 331312 496968 600503 662624 993936 1201006 1325248 1801509 1987872 2402012 2650496 3603018 3975744 4804024 7206036 7951488 9608048 14412072 19216096 28824144 38432192 57648288 76864384 115296576 230593152