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22201020105696 = 2532199387371233
BaseRepresentation
bin1010000110001000100111…
…11010101100001111100000
32220121101201021002210001200
411003010103322230033200
510402220142121340241
6115115001405401200
74450653655154025
oct503042372541740
986541637083050
1022201020105696
11708a444085583
1225a6858869200
13c507162c39c3
1456a76c49154c
15287775b3b4b6
hex143113eac3e0

22201020105696 has 72 divisors (see below), whose sum is σ = 63451408129200. Its totient is φ = 7363152377856.

The previous prime is 22201020105689. The next prime is 22201020105697. The reversal of 22201020105696 is 69650102010222.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22201020105696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201020105697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193628305 + ... + 193742928.

It is an arithmetic number, because the mean of its divisors is an integer number (881269557350).

Almost surely, 222201020105696 is an apocalyptic number.

It is an amenable number.

22201020105696 is an abundant number, since it is smaller than the sum of its proper divisors (41250388023504).

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

22201020105696 is a wasteful number, since it uses less digits than its factorization.

22201020105696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387371448 (or 387371437 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 22201020105696 in words is "twenty-two trillion, two hundred one billion, twenty million, one hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 597 796 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 14328 19104 28656 57312 387371233 774742466 1162113699 1549484932 2324227398 3098969864 3486341097 4648454796 6197939728 6972682194 9296909592 12395879456 13945364388 18593819184 27890728776 37187638368 55781457552 77086875367 111562915104 154173750734 231260626101 308347501468 462521252202 616695002936 693781878303 925042504404 1233390005872 1387563756606 1850085008808 2466780011744 2775127513212 3700170017616 5550255026424 7400340035232 11100510052848 22201020105696