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22002222110112 = 2532509150091561
BaseRepresentation
bin1010000000010110010101…
…01000100001010110100000
32212220101120200121020122100
411000023022220201112200
510340441022330010422
6114443403054410400
74430415401114046
oct500131250412640
985811520536570
1022002222110112
1170130a986a062
122574217800a00
13c37a5401b45a
14560cadca2396
152824dce9b7ac
hex1402caa215a0

22002222110112 has 72 divisors (see below), whose sum is σ = 62691744531780. Its totient is φ = 7319665198080.

The previous prime is 22002222110107. The next prime is 22002222110159. The reversal of 22002222110112 is 21101122220022.

It is a happy number.

22002222110112 is a `hidden beast` number, since 220 + 0 + 2 + 222 + 110 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21815214296976 + 187007813136 = 4670676^2 + 432444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74899189 + ... + 75192372.

Almost surely, 222002222110112 is an apocalyptic number.

It is an amenable number.

22002222110112 is an abundant number, since it is smaller than the sum of its proper divisors (40689522421668).

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

22002222110112 is a wasteful number, since it uses less digits than its factorization.

22002222110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150092086 (or 150092075 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22002222110112 its reverse (21101122220022), we get a palindrome (43103344330134).

The spelling of 22002222110112 in words is "twenty-two trillion, two billion, two hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 509 1018 1527 2036 3054 4072 4581 6108 8144 9162 12216 16288 18324 24432 36648 48864 73296 146592 150091561 300183122 450274683 600366244 900549366 1200732488 1350824049 1801098732 2401464976 2701648098 3602197464 4802929952 5403296196 7204394928 10806592392 14408789856 21613184784 43226369568 76396604549 152793209098 229189813647 305586418196 458379627294 611172836392 687569440941 916759254588 1222345672784 1375138881882 1833518509176 2444691345568 2750277763764 3667037018352 5500555527528 7334074036704 11001111055056 22002222110112