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2157180264 = 233229960837
BaseRepresentation
bin1000000010010011…
…1111010101101000
312120100010010000100
42000210333111220
513404214232024
6554015505400
7104312505201
oct20044772550
95510103010
102157180264
11a07743508
12502528260
13284bbb535
141666d25a8
15c95ae7c9
hex8093f568

2157180264 has 24 divisors (see below), whose sum is σ = 5842363410. Its totient is φ = 719060064.

The previous prime is 2157180251. The next prime is 2157180287. The reversal of 2157180264 is 4620817512.

2157180264 is a `hidden beast` number, since 2 + 1 + 571 + 80 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1717439364 + 439740900 = 41442^2 + 20970^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×21571802642 = 9306853382782219392, which contains 22 as substring.

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, 14980347 + ... + 14980490.

Almost surely, 22157180264 is an apocalyptic number.

2157180264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2157180264 is an abundant number, since it is smaller than the sum of its proper divisors (3685183146).

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

2157180264 is a wasteful number, since it uses less digits than its factorization.

2157180264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29960849 (or 29960842 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2157180264 is about 46445.4547184114. The cubic root of 2157180264 is about 1292.0980749035.

Adding to 2157180264 its reverse (4620817512), we get a palindrome (6777997776).

The spelling of 2157180264 in words is "two billion, one hundred fifty-seven million, one hundred eighty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29960837 59921674 89882511 119843348 179765022 239686696 269647533 359530044 539295066 719060088 1078590132 2157180264