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252107220 = 22355379279
BaseRepresentation
bin11110000011011…
…01100111010100
3122120101101002110
433001231213110
51004014412340
641003311020
76150606321
oct1701554724
9576341073
10252107220
1111a342982
127051b470
13402cc891
14256a7b48
15171ed680
hexf06d9d4

252107220 has 48 divisors (see below), whose sum is σ = 719228160. Its totient is φ = 65959296.

The previous prime is 252107197. The next prime is 252107227. The reversal of 252107220 is 22701252.

It is a happy number.

It is a super-2 number, since 2×2521072202 = 127116100752256800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252107227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36460 + ... + 42819.

It is an arithmetic number, because the mean of its divisors is an integer number (14983920).

Almost surely, 2252107220 is an apocalyptic number.

252107220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252107220 is an abundant number, since it is smaller than the sum of its proper divisors (467120940).

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

252107220 is a wasteful number, since it uses less digits than its factorization.

252107220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79344 (or 79342 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 252107220 is about 15877.8846198100. The cubic root of 252107220 is about 631.7255290843.

Adding to 252107220 its reverse (22701252), we get a palindrome (274808472).

The spelling of 252107220 in words is "two hundred fifty-two million, one hundred seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 79279 158558 237837 317116 396395 475674 792790 951348 1189185 1585580 2378370 4201787 4756740 8403574 12605361 16807148 21008935 25210722 42017870 50421444 63026805 84035740 126053610 252107220