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252221022 = 23231452009
BaseRepresentation
bin11110000100010…
…01011001011110
3122120121011012100
433002021121132
51004032033042
641005545530
76151562154
oct1702113136
9576534170
10252221022
1111a410429
12705752a6
134033c611
14256d73d4
151722224c
hexf08965e

252221022 has 24 divisors (see below), whose sum is σ = 564108480. Its totient is φ = 81361440.

The previous prime is 252220999. The next prime is 252221023. The reversal of 252221022 is 220122252.

252221022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 252220986 and 252221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252221023) 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, 225447 + ... + 226562.

It is an arithmetic number, because the mean of its divisors is an integer number (23504520).

Almost surely, 2252221022 is an apocalyptic number.

252221022 is an abundant number, since it is smaller than the sum of its proper divisors (311887458).

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

252221022 is a wasteful number, since it uses less digits than its factorization.

252221022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452048 (or 452045 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252221022 is about 15881.4678792610. The cubic root of 252221022 is about 631.8205690888.

Adding to 252221022 its reverse (220122252), we get a palindrome (472343274).

It can be divided in two parts, 25222 and 1022, that added together give a square (26244 = 1622).

The spelling of 252221022 in words is "two hundred fifty-two million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 452009 904018 1356027 2712054 4068081 8136162 14012279 28024558 42036837 84073674 126110511 252221022