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22422131240 = 2355339726641
BaseRepresentation
bin10100111000011101…
…101001001000101000
32010212122012021200012
4110320131221020220
5331410031144430
614144532031052
71422432654005
oct247035511050
963778167605
1022422131240
119566788083
124419162488
132164441aa2
141129c668ac
158b3714695
hex538769228

22422131240 has 64 divisors (see below), whose sum is σ = 51533087760. Its totient is φ = 8777134080.

The previous prime is 22422131227. The next prime is 22422131299. The reversal of 22422131240 is 4213122422.

It can be written as a sum of positive squares in 8 ways, for example, as 8189164036 + 14232967204 = 90494^2 + 119302^2 .

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, 828320 + ... + 854960.

Almost surely, 222422131240 is an apocalyptic number.

22422131240 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 22422131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25766543880).

22422131240 is an abundant number, since it is smaller than the sum of its proper divisors (29110956520).

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

22422131240 is a wasteful number, since it uses less digits than its factorization.

22422131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27102 (or 27098 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 22422131240 its reverse (4213122422), we get a palindrome (26635253662).

The spelling of 22422131240 in words is "twenty-two billion, four hundred twenty-two million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 397 424 530 794 1060 1588 1985 2120 3176 3970 7940 15880 21041 26641 42082 53282 84164 105205 106564 133205 168328 210410 213128 266410 420820 532820 841640 1065640 1411973 2823946 5647892 7059865 10576477 11295784 14119730 21152954 28239460 42305908 52882385 56478920 84611816 105764770 211529540 423059080 560553281 1121106562 2242213124 2802766405 4484426248 5605532810 11211065620 22422131240