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22142320440 = 23351087169751
BaseRepresentation
bin10100100111110010…
…001111111100111000
32010011010200102102020
4110213302033330320
5330321413223230
614101054434440
71412464422042
oct244762177470
963133612366
1022142320440
119432843089
12435b502a20
13211b492576
141100a2aa92
15898d92810
hex527c8ff38

22142320440 has 64 divisors (see below), whose sum is σ = 66488463360. Its totient is φ = 5899152000.

The previous prime is 22142320433. The next prime is 22142320469. The reversal of 22142320440 is 4402324122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22142320440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45565 + ... + 215315.

It is an arithmetic number, because the mean of its divisors is an integer number (1038882240).

Almost surely, 222142320440 is an apocalyptic number.

22142320440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142320440 is an abundant number, since it is smaller than the sum of its proper divisors (44346142920).

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

22142320440 is a wasteful number, since it uses less digits than its factorization.

22142320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170852 (or 170848 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22142320440 its reverse (4402324122), we get a palindrome (26544644562).

The spelling of 22142320440 in words is "twenty-two billion, one hundred forty-two million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1087 2174 3261 4348 5435 6522 8696 10870 13044 16305 21740 26088 32610 43480 65220 130440 169751 339502 509253 679004 848755 1018506 1358008 1697510 2037012 2546265 3395020 4074024 5092530 6790040 10185060 20370120 184519337 369038674 553558011 738077348 922596685 1107116022 1476154696 1845193370 2214232044 2767790055 3690386740 4428464088 5535580110 7380773480 11071160220 22142320440