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22050054 = 232131723241
BaseRepresentation
bin101010000011…
…1010100000110
31112111020222200
41110013110012
521121100204
62104335330
7355264605
oct124072406
945436880
1022050054
11114a0594
127474546
134750590
142cdda3c
151e08539
hex1507506

22050054 has 96 divisors (see below), whose sum is σ = 57081024. Its totient is φ = 6082560.

The previous prime is 22050047. The next prime is 22050059. The reversal of 22050054 is 45005022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22050059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91374 + ... + 91614.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 222050054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22050054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28540512).

22050054 is an abundant number, since it is smaller than the sum of its proper divisors (35030970).

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

22050054 is a wasteful number, since it uses less digits than its factorization.

22050054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 22050054 is about 4695.7485026351. The cubic root of 22050054 is about 280.4162770711.

Adding to 22050054 its reverse (45005022), we get a palindrome (67055076).

The spelling of 22050054 in words is "twenty-two million, fifty thousand, fifty-four".

Divisors: 1 2 3 6 9 13 17 18 23 26 34 39 46 51 69 78 102 117 138 153 207 221 234 241 299 306 391 414 442 482 598 663 723 782 897 1173 1326 1446 1794 1989 2169 2346 2691 3133 3519 3978 4097 4338 5083 5382 5543 6266 7038 8194 9399 10166 11086 12291 15249 16629 18798 24582 28197 30498 33258 36873 45747 49887 53261 56394 72059 73746 91494 94231 99774 106522 144118 159783 188462 216177 282693 319566 432354 479349 565386 648531 848079 958698 1225003 1297062 1696158 2450006 3675009 7350018 11025027 22050054