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230096448 = 2632399473
BaseRepresentation
bin11011011011011…
…11111001000000
3121000222002222200
431231233321000
5432401041243
634455433200
75462534061
oct1555577100
9530862880
10230096448
1110897995a
1265085800
133889415a
14227b8568
1515301ad3
hexdb6fe40

230096448 has 42 divisors (see below), whose sum is σ = 659531574. Its totient is φ = 76698624.

The previous prime is 230096423. The next prime is 230096459. The reversal of 230096448 is 844690032.

It is a happy number.

230096448 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 9 + 644 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 230068224 + 28224 = 15168^2 + 168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199161 + ... + 200312.

Almost surely, 2230096448 is an apocalyptic number.

It is an amenable number.

230096448 is an abundant number, since it is smaller than the sum of its proper divisors (429435126).

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

230096448 is a wasteful number, since it uses less digits than its factorization.

230096448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399491 (or 399478 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 230096448 is about 15168.9303512146. The cubic root of 230096448 is about 612.7781975441.

The spelling of 230096448 in words is "two hundred thirty million, ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 399473 798946 1198419 1597892 2396838 3195784 3595257 4793676 6391568 7190514 9587352 12783136 14381028 19174704 25566272 28762056 38349408 57524112 76698816 115048224 230096448