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218122199072 = 25825612
BaseRepresentation
bin1100101100100100011…
…0001010000000100000
3202212000022101210010122
43023021012022000200
512033203240332242
6244112015415412
721521162046431
oct3131106120040
9685008353118
10218122199072
1184561327628
1236334824568
13177519665ab
14a7b2c3b488
155a19419ad2
hex32c918a020

218122199072 has 18 divisors (see below), whose sum is σ = 429433280829. Its totient is φ = 109059778560.

The previous prime is 218122199063. The next prime is 218122199093. The reversal of 218122199072 is 270991221812.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 190378632976 + 27743566096 = 436324^2 + 166564^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=330244.

It is a super-2 number, since 2×2181221990722 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2600672 + ... + 2683232.

Almost surely, 2218122199072 is an apocalyptic number.

It is an amenable number.

218122199072 is a deficient number, since it is larger than the sum of its proper divisors (211311081757).

218122199072 is an frugal number, since it uses more digits than its factorization.

218122199072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165132 (or 82563 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 218122199072 in words is "two hundred eighteen billion, one hundred twenty-two million, one hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 32 82561 165122 330244 660488 1320976 2641952 6816318721 13632637442 27265274884 54530549768 109061099536 218122199072