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22142113224200 = 2352110710566121
BaseRepresentation
bin1010000100011010111001…
…10010110001011000001000
32220101202122221102010222222
411002031130302301120020
510400234021441133300
6115031540230433212
74443500131011524
oct502153462613010
986352587363888
1022142113224200
117067465742642
122597358b02808
13c47cb91781c8
14567980c68d84
15285e79360785
hex14235ccb1608

22142113224200 has 24 divisors (see below), whose sum is σ = 51480413246730. Its totient is φ = 8856845289600.

The previous prime is 22142113224191. The next prime is 22142113224223. The reversal of 22142113224200 is 242231124122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15296030508196 + 6846082716004 = 3911014^2 + 2616502^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22142113224200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55355282861 + ... + 55355283260.

Almost surely, 222142113224200 is an apocalyptic number.

22142113224200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142113224200 is an abundant number, since it is smaller than the sum of its proper divisors (29338300022530).

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

22142113224200 is a wasteful number, since it uses less digits than its factorization.

22142113224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110710566137 (or 110710566128 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 22142113224200 its reverse (242231124122), we get a palindrome (22384344348322).

The spelling of 22142113224200 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirteen million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 110710566121 221421132242 442842264484 553552830605 885684528968 1107105661210 2214211322420 2767764153025 4428422644840 5535528306050 11071056612100 22142113224200