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22555054144 = 267232279643
BaseRepresentation
bin10101000000011000…
…101101000001000000
32011012220022110121201
4111000120231001000
5332143043213034
614210041030544
71425635540230
oct250030550100
964186273551
1022555054144
119624816017
124455785454
132185b41aac
14113d787cc0
158c021e014
hex54062d040

22555054144 has 112 divisors (see below), whose sum is σ = 53616319488. Its totient is φ = 9204484608.

The previous prime is 22555054141. The next prime is 22555054153. The reversal of 22555054144 is 44145055522.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (22555054141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2334187 + ... + 2343829.

Almost surely, 222555054144 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 22555054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26808159744).

22555054144 is an abundant number, since it is smaller than the sum of its proper divisors (31061265344).

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

22555054144 is a wasteful number, since it uses less digits than its factorization.

22555054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9912 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 37.

The spelling of 22555054144 in words is "twenty-two billion, five hundred fifty-five million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 227 322 368 448 454 644 736 908 1288 1472 1589 1816 2576 3178 3632 5152 5221 6356 7264 9643 10304 10442 12712 14528 19286 20884 25424 36547 38572 41768 50848 67501 73094 77144 83536 101696 135002 146188 154288 167072 221789 270004 292376 308576 334144 443578 540008 584752 617152 887156 1080016 1169504 1552523 1774312 2160032 2188961 2339008 3105046 3548624 4320064 4377922 6210092 7097248 8755844 12420184 14194496 15322727 17511688 24840368 30645454 35023376 49680736 50346103 61290908 70046752 99361472 100692206 122581816 140093504 201384412 245163632 352422721 402768824 490327264 704845442 805537648 980654528 1409690884 1611075296 2819381768 3222150592 5638763536 11277527072 22555054144