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22143983424 = 263235394613
BaseRepresentation
bin10100100111111000…
…100101111101000000
32010011020210220121020
4110213320211331000
5330322324432144
614101154225440
71412514516303
oct244770457500
963136726536
1022143983424
119433779552
12435bb85280
13211b925494
141100d40b3a
158990c0419
hex527e25f40

22143983424 has 112 divisors (see below), whose sum is σ = 62290829952. Its totient is φ = 6927112192.

The previous prime is 22143983383. The next prime is 22143983453. The reversal of 22143983424 is 42438934122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186742 + ... + 281354.

Almost surely, 222143983424 is an apocalyptic number.

22143983424 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 22143983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31145414976).

22143983424 is an abundant number, since it is smaller than the sum of its proper divisors (40146846528).

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

22143983424 is a wasteful number, since it uses less digits than its factorization.

22143983424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94704 (or 94694 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 22143983424 in words is "twenty-two billion, one hundred forty-three million, nine hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 64 69 92 96 106 138 159 184 192 212 276 318 368 424 552 636 736 848 1104 1219 1272 1472 1696 2208 2438 2544 3392 3657 4416 4876 5088 7314 9752 10176 14628 19504 29256 39008 58512 78016 94613 117024 189226 234048 283839 378452 567678 756904 1135356 1513808 2176099 2270712 3027616 4352198 4541424 5014489 6055232 6528297 8704396 9082848 10028978 13056594 15043467 17408792 18165696 20057956 26113188 30086934 34817584 40115912 52226376 60173868 69635168 80231824 104452752 115333247 120347736 139270336 160463648 208905504 230666494 240695472 320927296 345999741 417811008 461332988 481390944 691999482 922665976 962781888 1383998964 1845331952 2767997928 3690663904 5535995856 7381327808 11071991712 22143983424