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21215251252 = 221317297331129
BaseRepresentation
bin10011110000100001…
…110000101100110100
32000202112020102120101
4103300201300230310
5321422101020002
613425100243444
71350506442316
oct236041605464
960675212511
1021215251252
118aa75022a8
124140b40584
1320013abc10
1410538657b6
158427ba587
hex4f0870b34

21215251252 has 96 divisors (see below), whose sum is σ = 43892906400. Its totient is φ = 8877883392.

The previous prime is 21215251237. The next prime is 21215251259. The reversal of 21215251252 is 25215251212.

It can be written as a sum of positive squares in 16 ways, for example, as 2551866256 + 18663384996 = 50516^2 + 136614^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21215251252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21215251259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18790624 + ... + 18791752.

It is an arithmetic number, because the mean of its divisors is an integer number (457217775).

Almost surely, 221215251252 is an apocalyptic number.

It is an amenable number.

21215251252 is an abundant number, since it is smaller than the sum of its proper divisors (22677655148).

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

21215251252 is a wasteful number, since it uses less digits than its factorization.

21215251252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1923 counting only the distinct ones).

The product of its digits is 4000, while the sum is 28.

The spelling of 21215251252 in words is "twenty-one billion, two hundred fifteen million, two hundred fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 13 17 26 29 34 52 58 68 116 221 377 442 493 733 754 884 986 1129 1466 1508 1972 2258 2932 4516 6409 9529 12461 12818 14677 19058 19193 21257 24922 25636 29354 32741 38116 38386 42514 49844 58708 65482 76772 85028 130964 161993 249509 276341 323986 361369 425633 499018 552682 556597 647972 722738 827557 851266 998036 1105364 1113194 1445476 1655114 1702532 2226388 3310228 4697797 7235761 9395594 10758241 14068469 14471522 18791188 21516482 23999153 28136938 28943044 43032964 47998306 56273876 95996612 182890097 311988989 365780194 407985601 623977978 731560388 815971202 1247955956 1631942404 5303812813 10607625626 21215251252