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230540648 = 231311811877
BaseRepresentation
bin11011011110111…
…00010101101000
3121001210200022112
431233130111220
5433004300043
634513141452
75466364112
oct1557342550
9531720275
10230540648
11109152668
126525a888
13389bb3b0
14228923b2
151538d518
hexdbdc568

230540648 has 32 divisors (see below), whose sum is σ = 466157160. Its totient is φ = 106256640.

The previous prime is 230540627. The next prime is 230540669. The reversal of 230540648 is 846045032.

230540648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230540627) and next prime (230540669).

It can be written as a sum of positive squares in 4 ways, for example, as 213218404 + 17322244 = 14602^2 + 4162^2 .

It is a super-3 number, since 3×2305406483 (a number of 26 digits) contains 333 as substring.

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, 121886 + ... + 123762.

Almost surely, 2230540648 is an apocalyptic number.

It is an amenable number.

230540648 is an abundant number, since it is smaller than the sum of its proper divisors (235616512).

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

230540648 is a wasteful number, since it uses less digits than its factorization.

230540648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 230540648 is about 15183.5650622639. The cubic root of 230540648 is about 613.1722657818.

The spelling of 230540648 in words is "two hundred thirty million, five hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 1181 1877 2362 3754 4724 7508 9448 15016 15353 24401 30706 48802 61412 97604 122824 195208 2216737 4433474 8866948 17733896 28817581 57635162 115270324 230540648