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22171968200 = 2352105292
BaseRepresentation
bin10100101001100011…
…010110001011001000
32010020012110200111102
4110221203112023020
5330402010440300
614104034120532
71413304422464
oct245143261310
963205420442
1022171968200
119448552968
124369420148
132124673115
1411049474a4
1589b79c0d5
hex5298d62c8

22171968200 has 36 divisors (see below), whose sum is σ = 51554722515. Its totient is φ = 8867944960.

The previous prime is 22171968199. The next prime is 22171968311. The reversal of 22171968200 is 286917122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 15226079236 + 6945888964 = 123394^2 + 83342^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105290.

It is a super-2 number, since 2×221719682002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2100536 + ... + 2111064.

Almost surely, 222171968200 is an apocalyptic number.

22171968200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22171968200 is an abundant number, since it is smaller than the sum of its proper divisors (29382754315).

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

22171968200 is an frugal number, since it uses more digits than its factorization.

22171968200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21074 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 22171968200 in words is "twenty-two billion, one hundred seventy-one million, nine hundred sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10529 21058 42116 52645 84232 105290 210580 263225 421160 526450 1052900 2105800 110859841 221719682 443439364 554299205 886878728 1108598410 2217196820 2771496025 4434393640 5542992050 11085984100 22171968200