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252218808 = 23323503039
BaseRepresentation
bin11110000100010…
…00110110111000
3122120121001011100
433002020312320
51004032000213
641005531400
76151552542
oct1702106670
9576531140
10252218808
1111a4097a6
1270573b60
134033b5ca
14256d6692
1517221773
hexf088db8

252218808 has 24 divisors (see below), whose sum is σ = 683092800. Its totient is φ = 84072912.

The previous prime is 252218807. The next prime is 252218809. The reversal of 252218808 is 808812252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252218807) and next prime (252218809).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2522188082 = 127228654217881728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252218803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1751448 + ... + 1751591.

It is an arithmetic number, because the mean of its divisors is an integer number (28462200).

Almost surely, 2252218808 is an apocalyptic number.

It is an amenable number.

252218808 is an abundant number, since it is smaller than the sum of its proper divisors (430873992).

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

252218808 is a wasteful number, since it uses less digits than its factorization.

252218808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503051 (or 3503044 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 252218808 is about 15881.3981752237. The cubic root of 252218808 is about 631.8187203732.

The spelling of 252218808 in words is "two hundred fifty-two million, two hundred eighteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3503039 7006078 10509117 14012156 21018234 28024312 31527351 42036468 63054702 84072936 126109404 252218808