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22164502240 = 2551170111839
BaseRepresentation
bin10100101001000110…
…110111011011100000
32010012200102101010101
4110221012313123200
5330343103032430
614103210112144
71413154106026
oct245106673340
963180371111
1022164502240
119444313651
124366a1b654
132122c5aaaa
141103962716
1589acc4dca
hex5291b76e0

22164502240 has 48 divisors (see below), whose sum is σ = 52372535040. Its totient is φ = 8864294400.

The previous prime is 22164502189. The next prime is 22164502247. The reversal of 22164502240 is 4220546122.

It is a junction number, because it is equal to n+sod(n) for n = 22164502199 and 22164502208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22164502247) 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 7 ways as a sum of consecutive naturals, for example, 1866241 + ... + 1878079.

It is an arithmetic number, because the mean of its divisors is an integer number (1091094480).

Almost surely, 222164502240 is an apocalyptic number.

22164502240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22164502240 is an abundant number, since it is smaller than the sum of its proper divisors (30208032800).

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

22164502240 is a wasteful number, since it uses less digits than its factorization.

22164502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23555 (or 23547 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 22164502240 in words is "twenty-two billion, one hundred sixty-four million, five hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 11701 11839 23402 23678 46804 47356 58505 59195 93608 94712 117010 118390 187216 189424 234020 236780 374432 378848 468040 473560 936080 947120 1872160 1894240 138528139 277056278 554112556 692640695 1108225112 1385281390 2216450224 2770562780 4432900448 5541125560 11082251120 22164502240