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22909985568 = 25369912
BaseRepresentation
bin10101010101100010…
…101010001100100000
32012010122011212000000
4111111202222030200
5333404424014233
614305200300000
71440505443561
oct252542521440
965118155000
1022909985568
1197970a9278
124534611600
1322115337a2
14117497a168
158e147dd13
hex5558aa320

22909985568 has 126 divisors (see below), whose sum is σ = 67693423707. Its totient is φ = 7628955840.

The previous prime is 22909985557. The next prime is 22909985591. The reversal of 22909985568 is 86558990922.

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 only one way, i.e., 11454992784 + 11454992784 = 107028^2 + 107028^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=107028.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 23117553 + ... + 23118543.

Almost surely, 222909985568 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 22909985568

22909985568 is an abundant number, since it is smaller than the sum of its proper divisors (44783438139).

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

22909985568 is an frugal number, since it uses more digits than its factorization.

22909985568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 22909985568 in words is "twenty-two billion, nine hundred nine million, nine hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 991 1296 1458 1944 1982 2592 2916 2973 3888 3964 5832 5946 7776 7928 8919 11664 11892 15856 17838 23328 23784 26757 31712 35676 47568 53514 71352 80271 95136 107028 142704 160542 214056 240813 285408 321084 428112 481626 642168 722439 856224 963252 982081 1284336 1444878 1926504 1964162 2568672 2889756 2946243 3853008 3928324 5779512 5892486 7706016 7856648 8838729 11559024 11784972 15713296 17677458 23118048 23569944 26516187 31426592 35354916 47139888 53032374 70709832 79548561 94279776 106064748 141419664 159097122 212129496 238645683 282839328 318194244 424258992 477291366 636388488 715937049 848517984 954582732 1272776976 1431874098 1909165464 2545553952 2863748196 3818330928 5727496392 7636661856 11454992784 22909985568