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22312604244 = 22371723229537
BaseRepresentation
bin10100110001111011…
…110101001001010100
32010121000002201212210
4110301323311021110
5331144011313434
614130020313420
71416633002220
oct246173651124
963530081783
1022312604244
11950a9798a7
1243a8542870
132147843b08
1411194b5780
158a8ccbee9
hex531ef5254

22312604244 has 144 divisors (see below), whose sum is σ = 65860760448. Its totient is φ = 5738962944.

The previous prime is 22312604207. The next prime is 22312604273. The reversal of 22312604244 is 44240621322.

It is a super-3 number, since 3×223126042443 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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, 740644 + ... + 770180.

It is an arithmetic number, because the mean of its divisors is an integer number (457366392).

Almost surely, 222312604244 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 22312604244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32930380224).

22312604244 is an abundant number, since it is smaller than the sum of its proper divisors (43548156204).

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

22312604244 is a wasteful number, since it uses less digits than its factorization.

22312604244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29614 (or 29589 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 22312604244 in words is "twenty-two billion, three hundred twelve million, six hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 84 92 102 119 138 161 204 238 276 322 357 391 476 483 529 644 714 782 966 1058 1173 1428 1564 1587 1932 2116 2346 2737 3174 3703 4692 5474 6348 7406 8211 8993 10948 11109 14812 16422 17986 22218 26979 29537 32844 35972 44436 53958 59074 62951 88611 107916 118148 125902 177222 188853 206759 251804 354444 377706 413518 502129 620277 679351 755412 827036 1004258 1240554 1358702 1506387 2008516 2038053 2481108 2717404 3012774 3514903 4076106 4755457 6025548 7029806 8152212 9510914 10544709 11548967 14059612 14266371 15625073 19021828 21089418 23097934 28532742 31250146 34646901 42178836 46195868 46875219 57065484 62500292 69293802 80842769 93750438 109375511 138587604 161685538 187500876 218751022 242528307 265626241 323371076 328126533 437502044 485056614 531252482 656253066 796878723 970113228 1062504964 1312506132 1593757446 1859383687 3187514892 3718767374 5578151061 7437534748 11156302122 22312604244