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22256693536 = 2571123126489
BaseRepresentation
bin10100101110100110…
…100011000100100000
32010110002220011210211
4110232212203010200
5331040203143121
614120302103504
71415353526230
oct245646430440
963402804724
1022256693536
119491361300
12439187ab94
13213909925c
141111cbdcc0
158a3e35ce1
hex52e9a3120

22256693536 has 144 divisors (see below), whose sum is σ = 56821685760. Its totient is φ = 8391398400.

The previous prime is 22256693533. The next prime is 22256693579. The reversal of 22256693536 is 63539665222.

It is a self number, because there is not a number n which added to its sum of digits gives 22256693536.

It is not an unprimeable number, because it can be changed into a prime (22256693531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826980 + ... + 853468.

It is an arithmetic number, because the mean of its divisors is an integer number (394595040).

Almost surely, 222256693536 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 22256693536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28410842880).

22256693536 is an abundant number, since it is smaller than the sum of its proper divisors (34564992224).

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

22256693536 is a wasteful number, since it uses less digits than its factorization.

22256693536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26559 (or 26540 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 49.

The spelling of 22256693536 in words is "twenty-two billion, two hundred fifty-six million, six hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 121 124 154 176 217 224 242 248 308 341 352 434 484 496 616 682 847 868 968 992 1232 1364 1694 1736 1936 2387 2464 2728 3388 3472 3751 3872 4774 5456 6776 6944 7502 9548 10912 13552 15004 19096 26257 26489 27104 30008 38192 52514 52978 60016 76384 105028 105956 120032 185423 210056 211912 291379 370846 420112 423824 582758 741692 821159 840224 847648 1165516 1483384 1642318 2039653 2331032 2966768 3205169 3284636 4079306 4662064 5748113 5933536 6410338 6569272 8158612 9032749 9324128 11496226 12820676 13138544 16317224 18065498 22436183 22992452 25641352 26277088 32634448 36130996 44872366 45984904 51282704 63229243 65268896 72261992 89744732 91969808 99360239 102565408 126458486 144523984 179489464 183939616 198720478 252916972 289047968 358978928 397440956 505833944 695521673 717957856 794881912 1011667888 1391043346 1589763824 2023335776 2782086692 3179527648 5564173384 11128346768 22256693536