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252896220 = 223251404979
BaseRepresentation
bin11110001001011…
…10001111011100
3122121212110101200
433010232033130
51004220134340
641032235500
76160403523
oct1704561734
9577773350
10252896220
1111a831745
127083bb90
1340517a45
14258314ba
1517307330
hexf12e3dc

252896220 has 36 divisors (see below), whose sum is σ = 767119080. Its totient is φ = 67438944.

The previous prime is 252896207. The next prime is 252896239. The reversal of 252896220 is 22698252.

252896220 is a `hidden beast` number, since 2 + 5 + 28 + 9 + 622 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 702310 + ... + 702669.

Almost surely, 2252896220 is an apocalyptic number.

252896220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252896220 is an abundant number, since it is smaller than the sum of its proper divisors (514222860).

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

252896220 is a wasteful number, since it uses less digits than its factorization.

252896220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404994 (or 1404989 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 252896220 is about 15902.7110896224. The cubic root of 252896220 is about 632.3838632347.

It can be divided in two parts, 252896 and 220, that added together give a triangular number (253116 = T711).

The spelling of 252896220 in words is "two hundred fifty-two million, eight hundred ninety-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1404979 2809958 4214937 5619916 7024895 8429874 12644811 14049790 16859748 21074685 25289622 28099580 42149370 50579244 63224055 84298740 126448110 252896220