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22042611660 = 223523139114913
BaseRepresentation
bin10100100001110101…
…111000111111001100
32002220012001200200110
4110201311320333030
5330120402033120
614043133400020
71410144051636
oct244165707714
962805050613
1022042611660
119391530433
124332039010
1321039214a4
1410d16b3a56
158902492e0
hex521d78fcc

22042611660 has 96 divisors (see below), whose sum is σ = 64866654720. Its totient is φ = 5581965312.

The previous prime is 22042611599. The next prime is 22042611667. The reversal of 22042611660 is 6611624022.

It is a super-3 number, since 3×220426116603 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22042611667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134364 + ... + 249276.

It is an arithmetic number, because the mean of its divisors is an integer number (675694320).

Almost surely, 222042611660 is an apocalyptic number.

22042611660 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 22042611660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32433327360).

22042611660 is an abundant number, since it is smaller than the sum of its proper divisors (42824043060).

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

22042611660 is a wasteful number, since it uses less digits than its factorization.

22042611660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115087 (or 115085 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 22042611660 in words is "twenty-two billion, forty-two million, six hundred eleven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 139 230 276 278 345 417 460 556 690 695 834 1380 1390 1668 2085 2780 3197 4170 6394 8340 9591 12788 15985 19182 31970 38364 47955 63940 95910 114913 191820 229826 344739 459652 574565 689478 1149130 1378956 1723695 2298260 2642999 3447390 5285998 6894780 7928997 10571996 13214995 15857994 15972907 26429990 31715988 31945814 39644985 47918721 52859980 63891628 79289970 79864535 95837442 158579940 159729070 191674884 239593605 319458140 367376861 479187210 734753722 958374420 1102130583 1469507444 1836884305 2204261166 3673768610 4408522332 5510652915 7347537220 11021305830 22042611660