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22144866528 = 253432731709
BaseRepresentation
bin10100100111111011…
…111101100011100000
32010011022110202222210
4110213323331203200
5330323041212103
614101225202120
71412525155041
oct244773754340
963138422883
1022144866528
119434221a94
124360330340
13211bb74425
1411010d08c8
158991e6e03
hex527efd8e0

22144866528 has 144 divisors (see below), whose sum is σ = 60364135440. Its totient is φ = 7107028992.

The previous prime is 22144866511. The next prime is 22144866547. The reversal of 22144866528 is 82566844122.

It is a super-2 number, since 2×221448665282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12956938 + ... + 12958646.

It is an arithmetic number, because the mean of its divisors is an integer number (419195385).

Almost surely, 222144866528 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 22144866528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30182067720).

22144866528 is an abundant number, since it is smaller than the sum of its proper divisors (38219268912).

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

22144866528 is a wasteful number, since it uses less digits than its factorization.

22144866528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1830 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The spelling of 22144866528 in words is "twenty-two billion, one hundred forty-four million, eight hundred sixty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 73 86 96 129 146 172 219 258 292 344 438 516 584 688 876 1032 1168 1376 1709 1752 1849 2064 2336 3139 3418 3504 3698 4128 5127 5547 6278 6836 7008 7396 9417 10254 11094 12556 13672 14792 18834 20508 22188 25112 27344 29584 37668 41016 44376 50224 54688 59168 73487 75336 82032 88752 100448 124757 134977 146974 150672 164064 177504 220461 249514 269954 293948 301344 374271 404931 440922 499028 539908 587896 748542 809862 881844 998056 1079816 1175792 1497084 1619724 1763688 1996112 2159632 2351584 2994168 3159941 3239448 3527376 3992224 4319264 5364551 5988336 6319882 6478896 7054752 9479823 10729102 11976672 12639764 12957792 16093653 18959646 21458204 25279528 32187306 37919292 42916408 50559056 64374612 75838584 85832816 101118112 128749224 151677168 171665632 230675693 257498448 303354336 461351386 514996896 692027079 922702772 1384054158 1845405544 2768108316 3690811088 5536216632 7381622176 11072433264 22144866528