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230589864 = 23323898233
BaseRepresentation
bin11011011111010…
…00010110101000
3121001220011211100
431233220112220
5433012333424
634514201400
75466660441
oct1557502650
9531804740
10230589864
1110918663a
1265283260
1338a0790b
14228a62c8
151539cdc9
hexdbe85a8

230589864 has 48 divisors (see below), whose sum is σ = 626195700. Its totient is φ = 76656384.

The previous prime is 230589859. The next prime is 230589869. The reversal of 230589864 is 468985032.

230589864 is a `hidden beast` number, since 2 + 3 + 0 + 589 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (230589859) and next prime (230589869).

It can be written as a sum of positive squares in 2 ways, for example, as 209960100 + 20629764 = 14490^2 + 4542^2 .

It is not an unprimeable number, because it can be changed into a prime (230589869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23892 + ... + 32124.

Almost surely, 2230589864 is an apocalyptic number.

230589864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230589864 is an abundant number, since it is smaller than the sum of its proper divisors (395605836).

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

230589864 is a wasteful number, since it uses less digits than its factorization.

230589864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 230589864 is about 15185.1856755194. The cubic root of 230589864 is about 613.2158961774.

The spelling of 230589864 in words is "two hundred thirty million, five hundred eighty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 389 778 1167 1556 2334 3112 3501 4668 7002 8233 9336 14004 16466 24699 28008 32932 49398 65864 74097 98796 148194 197592 296388 592776 3202637 6405274 9607911 12810548 19215822 25621096 28823733 38431644 57647466 76863288 115294932 230589864