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22198087808 = 2713210132
BaseRepresentation
bin10100101011000110…
…111111000010000000
32010022000121200212022
4110223012333002000
5330430202302213
614110410021012
71414042430111
oct245306770200
963260550768
1022198087808
119461272a16
124376117768
132129bb9b00
1411081c6208
1589dc0b308
hex52b1bf080

22198087808 has 72 divisors (see below), whose sum is σ = 47933494695. Its totient is φ = 10235157504.

The previous prime is 22198087799. The next prime is 22198087823. The reversal of 22198087808 is 80878089122.

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 5 ways, for example, as 2555504704 + 19642583104 = 50552^2 + 140152^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105352.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22198087808.

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, 21912710 + ... + 21913722.

Almost surely, 222198087808 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 22198087808

22198087808 is an abundant number, since it is smaller than the sum of its proper divisors (25735406887).

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

22198087808 is an frugal number, since it uses more digits than its factorization.

22198087808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 53.

The spelling of 22198087808 in words is "twenty-two billion, one hundred ninety-eight million, eighty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1013 1352 1664 2026 2704 4052 5408 8104 10816 13169 16208 21632 26338 32416 52676 64832 105352 129664 171197 210704 342394 421408 684788 842816 1026169 1369576 1685632 2052338 2739152 4104676 5478304 8209352 10956608 13340197 16418704 21913216 26680394 32837408 53360788 65674816 106721576 131349632 173422561 213443152 346845122 426886304 693690244 853772608 1387380488 1707545216 2774760976 5549521952 11099043904 22198087808