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22706657408 = 271927012
BaseRepresentation
bin10101001001011011…
…000001100010000000
32011121110120201012102
4111021123001202000
5333000401014113
614233054245532
71432456255241
oct251133014200
964543521172
1022706657408
1196a2352876
1244984b68a8
1321ab382676
14115596ccc8
158cd6b8758
hex5496c1880

22706657408 has 72 divisors (see below), whose sum is σ = 47810266965. Its totient is φ = 10740441600.

The previous prime is 22706657401. The next prime is 22706657411. The reversal of 22706657408 is 80475660722.

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 19174494784 + 3532162624 = 138472^2 + 59432^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106552.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22706657401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32391458 + ... + 32392158.

Almost surely, 222706657408 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 22706657408

22706657408 is an abundant number, since it is smaller than the sum of its proper divisors (25103609557).

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

22706657408 is an frugal number, since it uses more digits than its factorization.

22706657408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 22706657408 in words is "twenty-two billion, seven hundred six million, six hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 701 722 1216 1402 1444 2432 2804 2888 5608 5776 11216 11552 13319 22432 23104 26638 44864 46208 53276 89728 106552 213104 253061 426208 491401 506122 852416 982802 1012244 1704832 1965604 2024488 3931208 4048976 7862416 8097952 9336619 15724832 16195904 18673238 31449664 32391808 37346476 62899328 74692952 149385904 177395761 298771808 354791522 597543616 709583044 1195087232 1419166088 2838332176 5676664352 11353328704 22706657408