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22143400344 = 23321331375583
BaseRepresentation
bin10100100111110110…
…010111100110011000
32010011012201021202200
4110213312113212120
5330322202302334
614101133530200
71412506540332
oct244766274630
963135637680
1022143400344
11943341046a
12435b943960
13211b77cc70
141100c2c452
15899007799
hex527d97998

22143400344 has 96 divisors (see below), whose sum is σ = 64792116480. Its totient is φ = 6791496192.

The previous prime is 22143400327. The next prime is 22143400361. The reversal of 22143400344 is 44300434122.

It is a happy number.

22143400344 is a `hidden beast` number, since 2 + 214 + 3 + 400 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (22143400327) and next prime (22143400361).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255177 + ... + 330759.

It is an arithmetic number, because the mean of its divisors is an integer number (674917880).

Almost surely, 222143400344 is an apocalyptic number.

22143400344 is a gapful number since it is divisible by the number (24) 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 22143400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32396058240).

22143400344 is an abundant number, since it is smaller than the sum of its proper divisors (42648716136).

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

22143400344 is a wasteful number, since it uses less digits than its factorization.

22143400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75921 (or 75914 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22143400344 its reverse (44300434122), we get a palindrome (66443834466).

The spelling of 22143400344 in words is "twenty-two billion, one hundred forty-three million, four hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 313 468 626 936 939 1252 1878 2504 2817 3756 4069 5634 7512 8138 11268 12207 16276 22536 24414 32552 36621 48828 73242 75583 97656 146484 151166 226749 292968 302332 453498 604664 680247 906996 982579 1360494 1813992 1965158 2720988 2947737 3930316 5441976 5895474 7860632 8843211 11790948 17686422 23581896 23657479 35372844 47314958 70745688 70972437 94629916 141944874 189259832 212917311 283889748 307547227 425834622 567779496 615094454 851669244 922641681 1230188908 1703338488 1845283362 2460377816 2767925043 3690566724 5535850086 7381133448 11071700172 22143400344