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252222012 = 22347215887
BaseRepresentation
bin11110000100010…
…01101000111100
3122120121012120000
433002021220330
51004032101022
641005554300
76151565100
oct1702115074
9576535500
10252222012
1111a411149
1270575990
134033cbc3
14256d7900
15172226ac
hexf089a3c

252222012 has 90 divisors (see below), whose sum is σ = 767056752. Its totient is φ = 72058896.

The previous prime is 252222011. The next prime is 252222023. The reversal of 252222012 is 210222252.

252222012 is digitally balanced in base 3, 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (252222011) 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 29 ways as a sum of consecutive naturals, for example, 7933 + ... + 23819.

Almost surely, 2252222012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383528376).

252222012 is an abundant number, since it is smaller than the sum of its proper divisors (514834740).

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

252222012 is a wasteful number, since it uses less digits than its factorization.

252222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15917 (or 15899 counting only the distinct ones).

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

The square root of 252222012 is about 15881.4990476340. The cubic root of 252222012 is about 631.8213957468.

Adding to 252222012 its reverse (210222252), we get a palindrome (462444264).

The spelling of 252222012 in words is "two hundred fifty-two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 15887 31774 47661 63548 95322 111209 142983 190644 222418 285966 333627 428949 444836 571932 667254 778463 857898 1000881 1286847 1334508 1556926 1715796 2001762 2335389 2573694 3002643 3113852 4003524 4670778 5147388 6005286 7006167 9007929 9341556 12010572 14012334 18015858 21018501 28024668 36031716 42037002 63055503 84074004 126111006 252222012