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22124133024 = 2537103319639
BaseRepresentation
bin10100100110101100…
…110111101010100000
32010002212110101222020
4110212230313222200
5330302234224044
614055204541440
71412154012360
oct244654675240
963085411866
1022124133024
119423550664
1243553b1880
132117795196
1410dc4549a0
1589749da19
hex526b37aa0

22124133024 has 96 divisors (see below), whose sum is σ = 67017000960. Its totient is φ = 6259790592.

The previous prime is 22124133001. The next prime is 22124133061. The reversal of 22124133024 is 42033142122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22124132985 and 22124133003.

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, 90604 + ... + 229035.

It is an arithmetic number, because the mean of its divisors is an integer number (698093760).

Almost surely, 222124133024 is an apocalyptic number.

22124133024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22124133024 is an abundant number, since it is smaller than the sum of its proper divisors (44892867936).

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

22124133024 is a wasteful number, since it uses less digits than its factorization.

22124133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319762 (or 319754 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22124133024 its reverse (42033142122), we get a palindrome (64157275146).

The spelling of 22124133024 in words is "twenty-two billion, one hundred twenty-four million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 168 206 224 309 336 412 618 672 721 824 1236 1442 1648 2163 2472 2884 3296 4326 4944 5768 8652 9888 11536 17304 23072 34608 69216 319639 639278 958917 1278556 1917834 2237473 2557112 3835668 4474946 5114224 6712419 7671336 8949892 10228448 13424838 15342672 17899784 26849676 30685344 32922817 35799568 53699352 65845634 71599136 98768451 107398704 131691268 197536902 214797408 230459719 263382536 395073804 460919438 526765072 691379157 790147608 921838876 1053530144 1382758314 1580295216 1843677752 2765516628 3160590432 3687355504 5531033256 7374711008 11062066512 22124133024