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252211032 = 233216272153
BaseRepresentation
bin11110000100001…
…10111101011000
3122120120122111100
433002012331120
51004031223112
641005431400
76151521063
oct1702067530
9576518440
10252211032
1111a403977
127056b560
1340337bc8
14256d38da
151721e2dc
hexf086f58

252211032 has 48 divisors (see below), whose sum is σ = 683808840. Its totient is φ = 83979648.

The previous prime is 252211019. The next prime is 252211033. The reversal of 252211032 is 230112252.

252211032 is a `hidden beast` number, since 2 + 522 + 110 + 32 = 666.

252211032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2522110322 = 127220809325010048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 252210996 and 252211014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252211033) 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, 116068 + ... + 118220.

Almost surely, 2252211032 is an apocalyptic number.

It is an amenable number.

252211032 is an abundant number, since it is smaller than the sum of its proper divisors (431597808).

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

252211032 is a wasteful number, since it uses less digits than its factorization.

252211032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252211032 is about 15881.1533586198. The cubic root of 252211032 is about 631.8122272375.

Adding to 252211032 its reverse (230112252), we get a palindrome (482323284).

The spelling of 252211032 in words is "two hundred fifty-two million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1627 2153 3254 4306 4881 6459 6508 8612 9762 12918 13016 14643 17224 19377 19524 25836 29286 38754 39048 51672 58572 77508 117144 155016 3502931 7005862 10508793 14011724 21017586 28023448 31526379 42035172 63052758 84070344 126105516 252211032