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22229282952 = 233458572
BaseRepresentation
bin10100101100111101…
…111111000010001000
32010101012022120120000
4110230331333002020
5331011144023302
614113442403000
71414601534052
oct245475770210
963335276500
1022229282952
11947793a328
124384660460
1321334bca86
14110c3c68d2
158a181e31c
hex52cf7f088

22229282952 has 60 divisors (see below), whose sum is σ = 62273207205. Its totient is φ = 7408495872.

The previous prime is 22229282939. The next prime is 22229282987. The reversal of 22229282952 is 25928292222.

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 16163053956 + 6066228996 = 127134^2 + 77886^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105426.

It is a junction number, because it is equal to n+sod(n) for n = 22229282898 and 22229282907.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3792408 + ... + 3798264.

Almost surely, 222229282952 is an apocalyptic number.

It is an amenable number.

22229282952 is an abundant number, since it is smaller than the sum of its proper divisors (40043924253).

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

22229282952 is an frugal number, since it uses more digits than its factorization.

22229282952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11732 (or 5862 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 22229282952 in words is "twenty-two billion, two hundred twenty-nine million, two hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 5857 11714 17571 23428 35142 46856 52713 70284 105426 140568 158139 210852 316278 421704 474417 632556 948834 1265112 1897668 3795336 34304449 68608898 102913347 137217796 205826694 274435592 308740041 411653388 617480082 823306776 926220123 1234960164 1852440246 2469920328 2778660369 3704880492 5557320738 7409760984 11114641476 22229282952