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22495200256 = 2104321092
BaseRepresentation
bin10100111100110100…
…011000010000000000
32011001201200120112001
4110330310120100000
5332032232402011
614200102113344
71424311022134
oct247464302000
964051616461
1022495200256
1195a3a549a1
12443971b854
1321766164a9
1411358473c4
158b9d497c1
hex53cd18400

22495200256 has 99 divisors (see below), whose sum is σ = 46464777261. Its totient is φ = 10885238784.

The previous prime is 22495200239. The next prime is 22495200283. The reversal of 22495200256 is 65200259422.

The square root of 22495200256 is 149984.

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

It can be written as a sum of positive squares in only one way, i.e., 15679046656 + 6816153600 = 125216^2 + 82560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 206377930 + ... + 206378038.

Almost surely, 222495200256 is an apocalyptic number.

22495200256 is the 149984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22495200256

22495200256 is an abundant number, since it is smaller than the sum of its proper divisors (23969577005).

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

22495200256 is an frugal number, since it uses more digits than its factorization.

22495200256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 22495200256 its reverse (65200259422), we get a palindrome (87695459678).

The spelling of 22495200256 in words is "twenty-two billion, four hundred ninety-five million, two hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 109 128 172 218 256 344 436 512 688 872 1024 1376 1744 1849 2752 3488 3698 4687 5504 6976 7396 9374 11008 11881 13952 14792 18748 22016 23762 27904 29584 37496 44032 47524 55808 59168 74992 95048 111616 118336 149984 190096 201541 236672 299968 380192 403082 473344 510883 599936 760384 806164 946688 1021766 1199872 1520768 1612328 1893376 2043532 2399744 3041536 3224656 4087064 4799488 6083072 6449312 8174128 12166144 12898624 16348256 21967969 25797248 32696512 43935938 51594496 65393024 87871876 103188992 130786048 175743752 206377984 261572096 351487504 523144192 702975008 1405950016 2811900032 5623800064 11247600128 22495200256