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222855561728 = 293126732
BaseRepresentation
bin1100111110001100111…
…0100000001000000000
3210022020012001112000122
43033203032200020000
512122402010433403
6250213424035412
722046366006522
oct3174316401000
9708205045018
10222855561728
1186570177a98
1237235a62b68
13180274a8ab7
14ab01731a12
155be4c52838
hex33e33a0200

222855561728 has 90 divisors (see below), whose sum is σ = 460787617917. Its totient is φ = 107673108480.

The previous prime is 222855561667. The next prime is 222855561763. The reversal of 222855561728 is 827165558222.

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 215994421504 + 6861140224 = 464752^2 + 82832^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333808.

It is a self number, because there is not a number n which added to its sum of digits gives 222855561728.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 331137200 + ... + 331137872.

Almost surely, 2222855561728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222855561728

222855561728 is an abundant number, since it is smaller than the sum of its proper divisors (237932056189).

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

222855561728 is an frugal number, since it uses more digits than its factorization.

222855561728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 706 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 53.

The spelling of 222855561728 in words is "two hundred twenty-two billion, eight hundred fifty-five million, five hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 673 961 992 1346 1922 1984 2692 3844 3968 5384 7688 7936 10768 15376 15872 20863 21536 30752 41726 43072 61504 83452 86144 123008 166904 172288 246016 333808 344576 452929 492032 646753 667616 905858 1293506 1335232 1811716 2587012 2670464 3623432 5174024 5340928 7246864 10348048 10681856 14040799 14493728 20696096 28081598 28987456 41392192 56163196 57974912 82784384 112326392 115949824 165568768 224652784 231899648 331137536 435264769 449305568 870529538 898611136 1741059076 1797222272 3482118152 3594444544 6964236304 7188889088 13928472608 27856945216 55713890432 111427780864 222855561728