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253600164 = 22327044449
BaseRepresentation
bin11110001110110…
…10000110100100
3122200012020000200
433013122012210
51004410201124
641055310500
76166365036
oct1707320644
9580166020
10253600164
11120172614
1270b1b430
134070328c
1425975c56
15173e5bc9
hexf1da1a4

253600164 has 18 divisors (see below), whose sum is σ = 641044950. Its totient is φ = 84533376.

The previous prime is 253600141. The next prime is 253600187. The reversal of 253600164 is 461006352.

253600164 is a `hidden beast` number, since 2 + 53 + 600 + 1 + 6 + 4 = 666.

253600164 is digitally balanced in base 2, 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 (253600141) and next prime (253600187).

It can be written as a sum of positive squares in only one way, i.e., 232806564 + 20793600 = 15258^2 + 4560^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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, 3522189 + ... + 3522260.

Almost surely, 2253600164 is an apocalyptic number.

It is an amenable number.

253600164 is an abundant number, since it is smaller than the sum of its proper divisors (387444786).

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

253600164 is a wasteful number, since it uses less digits than its factorization.

253600164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044459 (or 7044454 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253600164 is about 15924.8285391084. The cubic root of 253600164 is about 632.9700726326.

The spelling of 253600164 in words is "two hundred fifty-three million, six hundred thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 7044449 14088898 21133347 28177796 42266694 63400041 84533388 126800082 253600164