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22342141024 = 2572914092441
BaseRepresentation
bin10100110011101100…
…100000010001100000
32010200001200100201121
4110303230200101200
5331224042003044
614132553342024
71420442031250
oct246354402140
963601610647
1022342141024
119525613265
1243b6407914
1321509b5cb8
14111d3a3960
158ab6b3984
hex533b20460

22342141024 has 96 divisors (see below), whose sum is σ = 52061486400. Its totient is φ = 9234677760.

The previous prime is 22342141009. The next prime is 22342141033. The reversal of 22342141024 is 42014124322.

It is a self number, because there is not a number n which added to its sum of digits gives 22342141024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9151644 + ... + 9154084.

It is an arithmetic number, because the mean of its divisors is an integer number (542307150).

Almost surely, 222342141024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22342141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26030743200).

22342141024 is an abundant number, since it is smaller than the sum of its proper divisors (29719345376).

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

22342141024 is a wasteful number, since it uses less digits than its factorization.

22342141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22342141024 its reverse (42014124322), we get a palindrome (64356265346).

The spelling of 22342141024 in words is "twenty-two billion, three hundred forty-two million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1409 1624 2441 2818 3248 4882 5636 6496 9764 9863 11272 17087 19528 19726 22544 34174 39056 39452 40861 45088 68348 70789 78112 78904 81722 136696 141578 157808 163444 273392 283156 286027 315616 326888 495523 546784 566312 572054 653776 991046 1132624 1144108 1307552 1982092 2265248 2288216 3439369 3964184 4576432 6878738 7928368 9152864 13757476 15856736 24075583 27514952 48151166 55029904 96302332 99741701 110059808 192604664 199483402 385209328 398966804 698191907 770418656 797933608 1396383814 1595867216 2792767628 3191734432 5585535256 11171070512 22342141024