Search a number
-
+
22296806792 = 231323121312
BaseRepresentation
bin10100110000111111…
…100100010110001000
32010112220101010211222
4110300333210112020
5331130440304132
614124253541212
71416351505421
oct246077442610
963486333758
1022296806792
119501a69a57
1243a31a4808
1321444a2500
141117362648
158a770b412
hex530fe4588

22296806792 has 108 divisors (see below), whose sum is σ = 47137000005. Its totient is φ = 9882849600.

The previous prime is 22296806789. The next prime is 22296806867. The reversal of 22296806792 is 29760869222.

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 19064429476 + 3232377316 = 138074^2 + 56854^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105586.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 170204567 + ... + 170204697.

Almost surely, 222296806792 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 22296806792

22296806792 is an abundant number, since it is smaller than the sum of its proper divisors (24840193213).

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

22296806792 is a wasteful number, since it uses less digits than its factorization.

22296806792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 22296806792 in words is "twenty-two billion, two hundred ninety-six million, eight hundred six thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 131 169 248 262 338 403 524 676 806 961 1048 1352 1612 1703 1922 3224 3406 3844 4061 5239 6812 7688 8122 10478 12493 13624 16244 17161 20956 22139 24986 32488 34322 41912 44278 49972 52793 68644 88556 99944 105586 125891 137288 162409 177112 211172 223093 251782 324818 422344 446186 503564 531991 649636 686309 892372 1007128 1063982 1299272 1372618 1636583 1784744 2127964 2745236 2900209 3273166 4255928 5490472 5800418 6546332 6915883 11600836 13092664 13831766 16491721 21275579 23201672 27663532 32983442 42551158 55327064 65966884 85102316 89906479 131933768 170204632 179812958 214392373 359625916 428784746 719251832 857569492 1715138984 2787100849 5574201698 11148403396 22296806792