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22400112120 = 2335434341107
BaseRepresentation
bin10100110111001001…
…101001010111111000
32010211002202121010020
4110313021221113320
5331333412041440
614142424050440
71422044545221
oct246711512770
963732677106
1022400112120
119555308861
124411903a20
13215ca02619
141126d74248
158b18153d0
hex5372695f8

22400112120 has 64 divisors (see below), whose sum is σ = 68763150720. Its totient is φ = 5834446464.

The previous prime is 22400112083. The next prime is 22400112131. The reversal of 22400112120 is 2121100422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22400112120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2165394 + ... + 2175713.

It is an arithmetic number, because the mean of its divisors is an integer number (1074424230).

Almost surely, 222400112120 is an apocalyptic number.

22400112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22400112120 is an abundant number, since it is smaller than the sum of its proper divisors (46363038600).

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

22400112120 is a wasteful number, since it uses less digits than its factorization.

22400112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341164 (or 4341160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22400112120 its reverse (2121100422), we get a palindrome (24521212542).

The spelling of 22400112120 in words is "twenty-two billion, four hundred million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 4341107 8682214 13023321 17364428 21705535 26046642 34728856 43411070 52093284 65116605 86822140 104186568 130233210 173644280 186667601 260466420 373335202 520932840 560002803 746670404 933338005 1120005606 1493340808 1866676010 2240011212 2800014015 3733352020 4480022424 5600028030 7466704040 11200056060 22400112120