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252213660 = 223251401187
BaseRepresentation
bin11110000100001…
…11100110011100
3122120120210002200
433002013212130
51004031314120
641005451500
76151531536
oct1702074634
9576523080
10252213660
1111a405946
1270570b90
134033916a
14256d4856
151721ee90
hexf08799c

252213660 has 36 divisors (see below), whose sum is σ = 765048648. Its totient is φ = 67256928.

The previous prime is 252213617. The next prime is 252213679. The reversal of 252213660 is 66312252.

252213660 is a `hidden beast` number, since 2 + 522 + 136 + 6 + 0 = 666.

252213660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2522136602 = 127223460581191200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700414 + ... + 700773.

Almost surely, 2252213660 is an apocalyptic number.

252213660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252213660 is an abundant number, since it is smaller than the sum of its proper divisors (512834988).

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

252213660 is a wasteful number, since it uses less digits than its factorization.

252213660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401202 (or 1401197 counting only the distinct ones).

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

The square root of 252213660 is about 15881.2360979868. The cubic root of 252213660 is about 631.8144216918.

The spelling of 252213660 in words is "two hundred fifty-two million, two hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1401187 2802374 4203561 5604748 7005935 8407122 12610683 14011870 16814244 21017805 25221366 28023740 42035610 50442732 63053415 84071220 126106830 252213660