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22144220168 = 2371945745541
BaseRepresentation
bin10100100111111001…
…011111110000001000
32010011021020221100112
4110213321133300020
5330322410021133
614101203253452
71412516523440
oct244771376010
963137227315
1022144220168
119433920404
12436007a288
13211b9a9175
141100da3120
1589911a648
hex527e5fc08

22144220168 has 64 divisors (see below), whose sum is σ = 50059766400. Its totient is φ = 8971015680.

The previous prime is 22144220167. The next prime is 22144220177. The reversal of 22144220168 is 86102244122.

It is not an unprimeable number, because it can be changed into a prime (22144220167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463478 + ... + 509018.

It is an arithmetic number, because the mean of its divisors is an integer number (782183850).

Almost surely, 222144220168 is an apocalyptic number.

22144220168 is a gapful number since it is divisible by the number (28) 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 22144220168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25029883200).

22144220168 is an abundant number, since it is smaller than the sum of its proper divisors (27915546232).

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

22144220168 is a wasteful number, since it uses less digits than its factorization.

22144220168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46030 (or 46026 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 22144220168 in words is "twenty-two billion, one hundred forty-four million, two hundred twenty thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 457 532 914 1064 1828 3199 3656 6398 8683 12796 17366 25592 34732 45541 60781 69464 91082 121562 182164 243124 318787 364328 486248 637574 865279 1275148 1730558 2550296 3461116 6056953 6922232 12113906 20812237 24227812 41624474 48455624 83248948 145685659 166497896 291371318 395432503 582742636 790865006 1165485272 1581730012 2768027521 3163460024 5536055042 11072110084 22144220168