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22111690000 = 245414872
BaseRepresentation
bin10100100101111101…
…011001110100010000
32010002000001020100111
4110211331121310100
5330241043040000
614054042131104
71411643156341
oct244575316420
963060036314
1022111690000
119417521a74
1243511b0a94
13211502964a
1410da9360c8
15896341cba
hex525f59d10

22111690000 has 75 divisors (see below), whose sum is σ = 53570638627. Its totient is φ = 8838728000.

The previous prime is 22111689959. The next prime is 22111690031. The reversal of 22111690000 is 9611122.

The square root of 22111690000 is 148700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1733556496 + 20378133504 = 41636^2 + 142752^2 .

It is a super-2 number, since 2×221116900002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 14869257 + ... + 14870743.

Almost surely, 222111690000 is an apocalyptic number.

22111690000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22111690000 is the 148700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111690000

22111690000 is an abundant number, since it is smaller than the sum of its proper divisors (31458948627).

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

22111690000 is an frugal number, since it uses more digits than its factorization.

22111690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 22111690000 in words is "twenty-two billion, one hundred eleven million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1487 2000 2500 2974 5000 5948 7435 10000 11896 14870 23792 29740 37175 59480 74350 118960 148700 185875 297400 371750 594800 743500 929375 1487000 1858750 2211169 2974000 3717500 4422338 7435000 8844676 11055845 14870000 17689352 22111690 35378704 44223380 55279225 88446760 110558450 176893520 221116900 276396125 442233800 552792250 884467600 1105584500 1381980625 2211169000 2763961250 4422338000 5527922500 11055845000 22111690000