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252211220 = 22519764013
BaseRepresentation
bin11110000100001…
…11000000010100
3122120120122202022
433002013000110
51004031224340
641005432312
76151521452
oct1702070024
9576518668
10252211220
1111a404028
127056b698
1340338011
14256d39d2
151721e3b5
hexf087014

252211220 has 24 divisors (see below), whose sum is σ = 532340424. Its totient is φ = 100370816.

The previous prime is 252211217. The next prime is 252211243. The reversal of 252211220 is 22112252.

It can be written as a sum of positive squares in 4 ways, for example, as 184905604 + 67305616 = 13598^2 + 8204^2 .

It is a super-2 number, since 2×2522112202 = 127220998987776800, 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 7 ways as a sum of consecutive naturals, for example, 28067 + ... + 35946.

It is an arithmetic number, because the mean of its divisors is an integer number (22180851).

Almost surely, 2252211220 is an apocalyptic number.

252211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252211220 is an abundant number, since it is smaller than the sum of its proper divisors (280129204).

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

252211220 is a wasteful number, since it uses less digits than its factorization.

252211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64219 (or 64217 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 252211220 is about 15881.1592775842. The cubic root of 252211220 is about 631.8123842233.

Adding to 252211220 its reverse (22112252), we get a palindrome (274323472).

The spelling of 252211220 in words is "two hundred fifty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 64013 128026 256052 320065 640130 1280260 12610561 25221122 50442244 63052805 126105610 252211220