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252112212 = 2232112311867
BaseRepresentation
bin11110000011011…
…10110101010100
3122120101121221100
433001232311110
51004020042322
641003350100
76150630012
oct1701566524
9576347840
10252112212
1111a346700
1270522330
1340301c31
14256a98b2
15171eedac
hexf06ed54

252112212 has 108 divisors (see below), whose sum is σ = 723468928. Its totient is φ = 73893600.

The previous prime is 252112187. The next prime is 252112229. The reversal of 252112212 is 212211252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134103 + ... + 135969.

Almost surely, 2252112212 is an apocalyptic number.

252112212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361734464).

252112212 is an abundant number, since it is smaller than the sum of its proper divisors (471356716).

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

252112212 is a wasteful number, since it uses less digits than its factorization.

252112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1914 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 252112212 is about 15878.0418188138. The cubic root of 252112212 is about 631.7296986767.

Adding to 252112212 its reverse (212211252), we get a palindrome (464323464).

The spelling of 252112212 in words is "two hundred fifty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 121 124 132 186 198 242 279 341 363 372 396 484 558 682 726 1023 1089 1116 1364 1452 1867 2046 2178 3069 3734 3751 4092 4356 5601 6138 7468 7502 11202 11253 12276 15004 16803 20537 22404 22506 33606 33759 41074 45012 57877 61611 67212 67518 82148 115754 123222 135036 173631 184833 225907 231508 246444 347262 369666 451814 520893 636647 677721 694524 739332 903628 1041786 1273294 1355442 1909941 2033163 2083572 2546588 2710884 3819882 4066326 5729823 7003117 7639764 8132652 11459646 14006234 21009351 22919292 28012468 42018702 63028053 84037404 126056106 252112212