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22825465080 = 23351122975511
BaseRepresentation
bin10101010000100000…
…001111010011111000
32011220202010202200120
4111100200033103320
5333221304340310
614252540533240
71435431152265
oct252040172370
964822122616
1022825465080
11975341a830
124510251220
1321c9b7c972
14116765826c
158d8d35b70
hex55080f4f8

22825465080 has 128 divisors (see below), whose sum is σ = 75028723200. Its totient is φ = 5509209600.

The previous prime is 22825465037. The next prime is 22825465093. The reversal of 22825465080 is 8056452822.

It is a super-2 number, since 2×228254650802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264525 + ... + 340035.

It is an arithmetic number, because the mean of its divisors is an integer number (586161900).

Almost surely, 222825465080 is an apocalyptic number.

22825465080 is a gapful number since it is divisible by the number (20) 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 22825465080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37514361600).

22825465080 is an abundant number, since it is smaller than the sum of its proper divisors (52203258120).

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

22825465080 is a wasteful number, since it uses less digits than its factorization.

22825465080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75765 (or 75761 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 22825465080 in words is "twenty-two billion, eight hundred twenty-five million, four hundred sixty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 229 264 330 440 458 660 687 916 1145 1320 1374 1832 2290 2519 2748 3435 4580 5038 5496 6870 7557 9160 10076 12595 13740 15114 20152 25190 27480 30228 37785 50380 60456 75511 75570 100760 151022 151140 226533 302044 302280 377555 453066 604088 755110 830621 906132 1132665 1510220 1661242 1812264 2265330 2491863 3020440 3322484 4153105 4530660 4983726 6644968 8306210 9061320 9967452 12459315 16612420 17292019 19934904 24918630 33224840 34584038 49837260 51876057 69168076 86460095 99674520 103752114 138336152 172920190 190212209 207504228 259380285 345840380 380424418 415008456 518760570 570636627 691680760 760848836 951061045 1037521140 1141273254 1521697672 1902122090 2075042280 2282546508 2853183135 3804244180 4565093016 5706366270 7608488360 11412732540 22825465080