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22530610404 = 22343122692
BaseRepresentation
bin10100111110111011…
…011101010011100100
32011011012022121010000
4110332323131103210
5332120314013104
614203405101300
71425221012541
oct247673352344
964135277100
1022530610404
119611a40085
124449557830
132180a63b43
14113a423bc8
158bcee1639
hex53eedd4e4

22530610404 has 135 divisors (see below), whose sum is σ = 61087827801. Its totient is φ = 7240920480.

The previous prime is 22530610393. The next prime is 22530610433. The reversal of 22530610404 is 40401603522.

The square root of 22530610404 is 150102.

It is a perfect power (a square), and thus also a powerful number.

22530610404 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 0 + 610 + 40 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1482404004 + 21048206400 = 38502^2 + 145080^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 83756782 + ... + 83757050.

Almost surely, 222530610404 is an apocalyptic number.

22530610404 is the 150102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22530610404

22530610404 is an abundant number, since it is smaller than the sum of its proper divisors (38557217397).

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

22530610404 is an equidigital number, since it uses as much as digits as its factorization.

22530610404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 22530610404 in words is "twenty-two billion, five hundred thirty million, six hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 269 279 324 372 538 558 807 837 961 1076 1116 1614 1674 1922 2421 2511 2883 3228 3348 3844 4842 5022 5766 7263 8339 8649 9684 10044 11532 14526 16678 17298 21789 25017 25947 29052 33356 34596 43578 50034 51894 72361 75051 77841 87156 100068 103788 144722 150102 155682 217083 225153 258509 289444 300204 311364 434166 450306 517018 651249 675459 775527 868332 900612 1034036 1302498 1350918 1551054 1953747 2243191 2326581 2604996 2701836 3102108 3907494 4486382 4653162 5861241 6729573 6979743 7814988 8972764 9306324 11722482 13459146 13959486 20188719 20939229 23444964 26918292 27918972 40377438 41878458 60566157 69538921 80754876 83756916 121132314 139077842 181698471 208616763 242264628 278155684 363396942 417233526 625850289 726793884 834467052 1251700578 1877550867 2503401156 3755101734 5632652601 7510203468 11265305202 22530610404