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22553502144 = 263374217541
BaseRepresentation
bin10101000000010010…
…110010000111000000
32011012210101121200020
4111000102302013000
5332142144032034
614205543453440
71425616414365
oct250022620700
964183347606
1022553502144
119623955a78
124455157280
13218571a554
14113d4a246c
158c0014249
hex5404b21c0

22553502144 has 112 divisors (see below), whose sum is σ = 61439304096. Its totient is φ = 7296307200.

The previous prime is 22553502121. The next prime is 22553502157. The reversal of 22553502144 is 44120535522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2987014 + ... + 2994554.

Almost surely, 222553502144 is an apocalyptic number.

22553502144 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 22553502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30719652048).

22553502144 is an abundant number, since it is smaller than the sum of its proper divisors (38885801952).

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

22553502144 is a wasteful number, since it uses less digits than its factorization.

22553502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 22553502144 in words is "twenty-two billion, five hundred fifty-three million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 421 444 592 842 888 1184 1263 1684 1776 2368 2526 3368 3552 5052 6736 7104 7541 10104 13472 15082 15577 20208 22623 26944 30164 31154 40416 45246 46731 60328 62308 80832 90492 93462 120656 124616 180984 186924 241312 249232 279017 361968 373848 482624 498464 558034 723936 747696 837051 996928 1116068 1447872 1495392 1674102 2232136 2990784 3174761 3348204 4464272 6349522 6696408 8928544 9524283 12699044 13392816 17857088 19048566 25398088 26785632 38097132 50796176 53571264 76194264 101592352 117466157 152388528 203184704 234932314 304777056 352398471 469864628 609554112 704796942 939729256 1409593884 1879458512 2819187768 3758917024 5638375536 7517834048 11276751072 22553502144