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22469800452 = 22311678928547
BaseRepresentation
bin10100111011010011…
…011111001000000100
32010222221220010112120
4110323103133020010
5332004232103302
614153353445540
71423552103211
oct247323371004
963887803476
1022469800452
119590686720
1244311108b0
132171292318
141132314b08
158b79cd9bc
hex53b4df204

22469800452 has 96 divisors (see below), whose sum is σ = 58703823360. Its totient is φ = 6631806720.

The previous prime is 22469800429. The next prime is 22469800471. The reversal of 22469800452 is 25400896422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772843 + ... + 801389.

It is an arithmetic number, because the mean of its divisors is an integer number (611498160).

Almost surely, 222469800452 is an apocalyptic number.

22469800452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22469800452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29351911680).

22469800452 is an abundant number, since it is smaller than the sum of its proper divisors (36234022908).

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

22469800452 is a wasteful number, since it uses less digits than its factorization.

22469800452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28721 (or 28719 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 22469800452 in words is "twenty-two billion, four hundred sixty-nine million, eight hundred thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 89 132 134 178 201 267 268 356 402 534 737 804 979 1068 1474 1958 2211 2937 2948 3916 4422 5874 5963 8844 11748 11926 17889 23852 28547 35778 57094 65593 71556 85641 114188 131186 171282 196779 262372 314017 342564 393558 628034 787116 942051 1256068 1884102 1912649 2540683 3768204 3825298 5081366 5737947 7622049 7650596 10162732 11475894 15244098 21039139 22951788 27947513 30488196 42078278 55895026 63117417 83842539 84156556 111790052 126234834 167685078 170225761 252469668 335370156 340451522 510677283 680903044 1021354566 1872483371 2042709132 3744966742 5617450113 7489933484 11234900226 22469800452