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230265540 = 223251279253
BaseRepresentation
bin11011011100110…
…01001011000100
3121001021200221100
431232121023010
5432421444130
634503220100
75464140051
oct1556311304
9531250840
10230265540
11108a849aa
1265147630
13389230cb
1422820028
1515336c60
hexdb992c4

230265540 has 36 divisors (see below), whose sum is σ = 698472684. Its totient is φ = 61404096.

The previous prime is 230265509. The next prime is 230265547. The reversal of 230265540 is 45562032.

230265540 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 655 + 4 + 0 = 666.

230265540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39162564 + 191102976 = 6258^2 + 13824^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2302655402 = 106044437822983200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230265547) 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, 639447 + ... + 639806.

It is an arithmetic number, because the mean of its divisors is an integer number (19402019).

Almost surely, 2230265540 is an apocalyptic number.

230265540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230265540 is an abundant number, since it is smaller than the sum of its proper divisors (468207144).

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

230265540 is a wasteful number, since it uses less digits than its factorization.

230265540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279268 (or 1279263 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 230265540 is about 15174.5029572635. The cubic root of 230265540 is about 612.9282658027.

The spelling of 230265540 in words is "two hundred thirty million, two hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1279253 2558506 3837759 5117012 6396265 7675518 11513277 12792530 15351036 19188795 23026554 25585060 38377590 46053108 57566385 76755180 115132770 230265540