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252200230131060 = 223253174419912901
BaseRepresentation
bin111001010101111111110001…
…001000010001010101110100
31020001222002212122221201122100
4321111333301020101111310
5231024022032403143220
62252215104122302100
7104056602544421031
oct7125776110212564
91201862778851570
10252200230131060
11733a4576076282
1224352116957930
13aa954c213c1c3
14463c7b0586388
151e2549045cd90
hexe55ff1211574

252200230131060 has 72 divisors (see below), whose sum is σ = 767420637348456. Its totient is φ = 67041238867200.

The previous prime is 252200230131037. The next prime is 252200230131061. The reversal of 252200230131060 is 60131032002252.

It is a happy number.

252200230131060 is a `hidden beast` number, since 2 + 52 + 200 + 2 + 301 + 3 + 106 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2861097824484 + 249339132306576 = 1691478^2 + 15790476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252200230131061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2209899391 + ... + 2210013510.

It is an arithmetic number, because the mean of its divisors is an integer number (10658619963173).

Almost surely, 2252200230131060 is an apocalyptic number.

252200230131060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252200230131060 is an abundant number, since it is smaller than the sum of its proper divisors (515220407217396).

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

252200230131060 is a wasteful number, since it uses less digits than its factorization.

252200230131060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419913233 (or 4419913228 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 252200230131060 in words is "two hundred fifty-two trillion, two hundred billion, two hundred thirty million, one hundred thirty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 9510 11412 14265 19020 28530 57060 4419912901 8839825802 13259738703 17679651604 22099564505 26519477406 39779216109 44199129010 53038954812 66298693515 79558432218 88398258020 132597387030 159116864436 198896080545 265194774060 397792161090 795584322180 1401112389617 2802224779234 4203337168851 5604449558468 7005561948085 8406674337702 12610011506553 14011123896170 16813348675404 21016685844255 25220023013106 28022247792340 42033371688510 50440046026212 63050057532765 84066743377020 126100115065530 252200230131060