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212502900252 = 223533131067489
BaseRepresentation
bin1100010111101000101…
…0001110111000011100
3202022111200200211022010
43011322022032320130
511440201220302002
6241342242351220
721232006564146
oct3057212167034
9668450624263
10212502900252
1182138390215
123522695b510
1317067712bc6
14a3dc80bc96
1557dae3246c
hex317a28ee1c

212502900252 has 48 divisors (see below), whose sum is σ = 506810092320. Its totient is φ = 69275701248.

The previous prime is 212502900229. The next prime is 212502900263. The reversal of 212502900252 is 252009205212.

212502900252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2125029002522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334677 + ... + 732812.

It is an arithmetic number, because the mean of its divisors is an integer number (10558543590).

Almost surely, 2212502900252 is an apocalyptic number.

It is an amenable number.

212502900252 is an abundant number, since it is smaller than the sum of its proper divisors (294307192068).

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

212502900252 is a wasteful number, since it uses less digits than its factorization.

212502900252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067862 (or 1067860 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 212502900252 in words is "two hundred twelve billion, five hundred two million, nine hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 313 318 626 636 939 1252 1878 3756 16589 33178 49767 66356 99534 199068 1067489 2134978 3202467 4269956 6404934 12809868 56576917 113153834 169730751 226307668 334124057 339461502 668248114 678923004 1002372171 1336496228 2004744342 4009488684 17708575021 35417150042 53125725063 70834300084 106251450126 212502900252