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22530314440504 = 23131732938574987
BaseRepresentation
bin1010001111101101111110…
…11000111000111100111000
32221202212200100111012112001
411013312333120320330320
510423114040444044004
6115530141130030344
74513522123630333
oct507667730707470
987685610435461
1022530314440504
1171a7064157132
12263a6388783b4
13c757a4243820
1457c68a02b61a
152910e9ed31a4
hex147dbf638f38

22530314440504 has 128 divisors (see below), whose sum is σ = 45975832943040. Its totient is φ = 10289128108032.

The previous prime is 22530314440453. The next prime is 22530314440511. The reversal of 22530314440504 is 40504441303522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4517806699 + ... + 4517811685.

Almost surely, 222530314440504 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 22530314440504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22987916471520).

22530314440504 is an abundant number, since it is smaller than the sum of its proper divisors (23445518502536).

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

22530314440504 is a wasteful number, since it uses less digits than its factorization.

22530314440504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

The spelling of 22530314440504 in words is "twenty-two trillion, five hundred thirty billion, three hundred fourteen million, four hundred forty thousand, five hundred four".

Divisors: 1 2 4 8 13 26 52 104 173 293 346 586 692 857 1172 1384 1714 2249 2344 3428 3809 4498 4987 6856 7618 8996 9974 11141 15236 17992 19948 22282 30472 39896 44564 50689 64831 89128 101378 129662 148261 202756 251101 259324 296522 405512 502202 518648 593044 658957 862751 1004404 1186088 1317914 1461191 1725502 1927393 2008808 2635828 2922382 3264313 3451004 3854786 4273859 5271656 5844764 6528626 6902008 7709572 8547718 11215763 11689528 13057252 15419144 17095436 18995483 22431526 26114504 34190872 37990966 43440473 44863052 55560167 75981932 86880946 89726104 111120334 151963864 173761892 222240668 252786043 347523784 444481336 505572086 564726149 739377607 1011144172 1129452298 1252240687 1478755214 2022288344 2258904596 2504481374 2957510428 3286218559 4517809192 5008962748 5915020856 6572437118 9611908891 10017925496 13144874236 16279128931 19223817782 26289748472 32558257862 38447635564 65116515724 76895271128 130233031448 216637638851 433275277702 866550555404 1733101110808 2816289305063 5632578610126 11265157220252 22530314440504