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22101122008 = 2377312134457
BaseRepresentation
bin10100100101010101…
…000101101111011000
32010001021011022210101
4110211111011233120
5330230341401013
614053023425144
71411454303020
oct244525055730
963037138711
1022101122008
119411564099
1243497551b4
132112a993b4
1410d9384a80
158954558dd
hex525545bd8

22101122008 has 64 divisors (see below), whose sum is σ = 48058666560. Its totient is φ = 9332361216.

The previous prime is 22101121979. The next prime is 22101122009. The reversal of 22101122008 is 80022110122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101122009) by changing a digit.

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, 4956516 + ... + 4960972.

It is an arithmetic number, because the mean of its divisors is an integer number (750916665).

Almost surely, 222101122008 is an apocalyptic number.

22101122008 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 22101122008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24029333280).

22101122008 is an abundant number, since it is smaller than the sum of its proper divisors (25957544552).

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

22101122008 is a wasteful number, since it uses less digits than its factorization.

22101122008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The spelling of 22101122008 in words is "twenty-two billion, one hundred one million, one hundred twenty-two thousand, eight".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 1213 2044 2426 4088 4457 4852 8491 8914 9704 16982 17828 31199 33964 35656 62398 67928 88549 124796 177098 249592 325361 354196 619843 650722 708392 1239686 1301444 2277527 2479372 2602888 4555054 4958744 5406341 9110108 10812682 18220216 21625364 37844387 43250728 75688774 151377548 302755096 394662893 789325786 1578651572 2762640251 3157303144 5525280502 11050561004 22101122008