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22625790660 = 223251125494483
BaseRepresentation
bin10101000100100110…
…100010101011000100
32011101211102020212200
4111010212202223010
5332314200300120
614221045114500
71430455022154
oct250446425304
964354366780
1022625790660
11966073a450
1244753b8a30
1321976aa915
141148d1c764
158c6542e90
hex5449a2ac4

22625790660 has 144 divisors (see below), whose sum is σ = 74916878400. Its totient is φ = 5481665280.

The previous prime is 22625790631. The next prime is 22625790703. The reversal of 22625790660 is 6609752622.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5044779 + ... + 5049261.

It is an arithmetic number, because the mean of its divisors is an integer number (520256100).

Almost surely, 222625790660 is an apocalyptic number.

22625790660 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 22625790660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37458439200).

22625790660 is an abundant number, since it is smaller than the sum of its proper divisors (52291087740).

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

22625790660 is a wasteful number, since it uses less digits than its factorization.

22625790660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 22625790660 in words is "twenty-two billion, six hundred twenty-five million, seven hundred ninety thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2549 4483 5098 7647 8966 10196 12745 13449 15294 17932 22415 22941 25490 26898 28039 30588 38235 40347 44830 45882 49313 50980 53796 56078 67245 76470 80694 84117 89660 91764 98626 112156 114705 134490 140195 147939 152940 161388 168234 197252 201735 229410 246565 252351 268980 280390 295878 336468 403470 420585 443817 458820 493130 504702 560780 591756 739695 806940 841170 887634 986260 1009404 1261755 1479390 1682340 1775268 2219085 2523510 2958780 4438170 5047020 8876340 11427167 22854334 34281501 45708668 57135835 68563002 102844503 114271670 125698837 137126004 171407505 205689006 228543340 251397674 342815010 377096511 411378012 502795348 514222515 628494185 685630020 754193022 1028445030 1131289533 1256988370 1508386044 1885482555 2056890060 2262579066 2513976740 3770965110 4525158132 5656447665 7541930220 11312895330 22625790660