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22014110424 = 23317299719181
BaseRepresentation
bin10100100000001001…
…001010101011011000
32002211012102200100010
4110200021022223120
5330041103013144
614040234441520
71406346564645
oct244011125330
962735380303
1022014110424
119377433a99
1243245932a0
1320caa52757
1410cb9b4dcc
1588c9b95b9
hex52024aad8

22014110424 has 128 divisors (see below), whose sum is σ = 60906686400. Its totient is φ = 6599147520.

The previous prime is 22014110413. The next prime is 22014110539. The reversal of 22014110424 is 42401141022.

It is a self number, because there is not a number n which added to its sum of digits gives 22014110424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1138114 + ... + 1157294.

Almost surely, 222014110424 is an apocalyptic number.

22014110424 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 22014110424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30453343200).

22014110424 is an abundant number, since it is smaller than the sum of its proper divisors (38892575976).

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

22014110424 is a wasteful number, since it uses less digits than its factorization.

22014110424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19333 (or 19329 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22014110424 its reverse (42401141022), we get a palindrome (64415251446).

The spelling of 22014110424 in words is "twenty-two billion, fourteen million, one hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 97 102 116 136 174 194 204 232 291 348 388 408 493 582 696 776 986 1164 1479 1649 1972 2328 2813 2958 3298 3944 4947 5626 5916 6596 8439 9894 11252 11832 13192 16878 19181 19788 22504 33756 38362 39576 47821 57543 67512 76724 95642 115086 143463 153448 191284 230172 286926 326077 382568 460344 556249 573852 652154 978231 1112498 1147704 1304308 1668747 1860557 1956462 2224996 2608616 3337494 3721114 3912924 4449992 5581671 6674988 7442228 7825848 9456233 11163342 13349976 14884456 18912466 22326684 28368699 31629469 37824932 44653368 53956153 56737398 63258938 75649864 94888407 107912306 113474796 126517876 161868459 189776814 215824612 226949592 253035752 323736918 379553628 431649224 647473836 759107256 917254601 1294947672 1834509202 2751763803 3669018404 5503527606 7338036808 11007055212 22014110424