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222210011210112 = 2732433445474907
BaseRepresentation
bin110010100001100101001100…
…110010001010000110000000
31002010210001212202002021012100
4302201211030302022012000
5213111142100332210422
62104333511521430400
764543100140563132
oct6241451462120600
91063701782067170
10222210011210112
1164891811363732
1220b0995719b400
1396cb411239bc3
143cc3044253052
151aa52d41eb7ac
hexca194cc8a180

222210011210112 has 96 divisors (see below), whose sum is σ = 640909204888680. Its totient is φ = 73898941206528.

The previous prime is 222210011210107. The next prime is 222210011210147. The reversal of 222210011210112 is 211012110012222.

222210011210112 is a `hidden beast` number, since 222 + 210 + 0 + 1 + 121 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2222100112101122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222238638 + ... + 223236269.

Almost surely, 2222210011210112 is an apocalyptic number.

It is an amenable number.

222210011210112 is an abundant number, since it is smaller than the sum of its proper divisors (418699193678568).

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

222210011210112 is a wasteful number, since it uses less digits than its factorization.

222210011210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445475360 (or 445475345 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222210011210112 its reverse (211012110012222), we get a palindrome (433222121222334).

The spelling of 222210011210112 in words is "two hundred twenty-two trillion, two hundred ten billion, eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 433 576 866 1152 1299 1732 2598 3464 3897 5196 6928 7794 10392 13856 15588 20784 27712 31176 41568 55424 62352 83136 124704 166272 249408 498816 445474907 890949814 1336424721 1781899628 2672849442 3563799256 4009274163 5345698884 7127598512 8018548326 10691397768 14255197024 16037096652 21382795536 28510394048 32074193304 42765591072 57020788096 64148386608 85531182144 128296773216 171062364288 192890634731 256593546432 385781269462 513187092864 578671904193 771562538924 1157343808386 1543125077848 1736015712579 2314687616772 3086250155696 3472031425158 4629375233544 6172500311392 6944062850316 9258750467088 12345000622784 13888125700632 18517500934176 24690001245568 27776251401264 37035001868352 55552502802528 74070003736704 111105005605056 222210011210112