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22005161992 = 23114713993803
BaseRepresentation
bin10100011111100111…
…000010000000001000
32002210120121001101201
4110133213002000020
5330031310140432
614035314553544
71406210535142
oct243747020010
962716531351
1022005161992
1193723819a0
1243215988b4
1320c8c3b718
1410ca725c92
1588bcecee7
hex51f9c2008

22005161992 has 64 divisors (see below), whose sum is σ = 46013184000. Its totient is φ = 9779960640.

The previous prime is 22005161977. The next prime is 22005162013. The reversal of 22005161992 is 29916150022.

It is a super-2 number, since 2×220051619922 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5784363 + ... + 5788165.

It is an arithmetic number, because the mean of its divisors is an integer number (718956000).

Almost surely, 222005161992 is an apocalyptic number.

22005161992 is a gapful number since it is divisible by the number (22) 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 22005161992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23006592000).

22005161992 is an abundant number, since it is smaller than the sum of its proper divisors (24008022008).

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

22005161992 is a wasteful number, since it uses less digits than its factorization.

22005161992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 22005161992 in words is "twenty-two billion, five million, one hundred sixty-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 1399 2068 2798 3803 4136 5596 7606 11192 15212 15389 30424 30778 41833 61556 65753 83666 123112 131506 167332 178741 263012 334664 357482 526024 714964 723283 1429928 1446566 1966151 2893132 3932302 5320397 5786264 7864604 10640794 15729208 21281588 42563176 58524367 117048734 234097468 250058659 468194936 500117318 1000234636 2000469272 2750645249 5501290498 11002580996 22005161992