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222112221012200 = 23524127086856221
BaseRepresentation
bin110010100000001010001000…
…000010001010000011101000
31002010102201110120120111112102
4302200022020002022003220
5213103041312034342300
62104220540134232532
764533035615610251
oct6240121002120350
91063381416514472
10222112221012200
116485429a342652
1220ab2a054b5748
1396c21284b157c
143cbc4088a1b28
151aa29adeb80d5
hexca028808a0e8

222112221012200 has 48 divisors (see below), whose sum is σ = 529006302015660. Its totient is φ = 86677939904000.

The previous prime is 222112221012151. The next prime is 222112221012233. The reversal of 222112221012200 is 2210122211222.

It can be written as a sum of positive squares in 6 ways, for example, as 147574295716 + 221964646716484 = 384154^2 + 14898478^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13543419911 + ... + 13543436310.

Almost surely, 2222112221012200 is an apocalyptic number.

222112221012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112221012200 is an abundant number, since it is smaller than the sum of its proper divisors (306894081003460).

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

222112221012200 is a wasteful number, since it uses less digits than its factorization.

222112221012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27086856278 (or 27086856269 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222112221012200 its reverse (2210122211222), we get a palindrome (224322343223422).

The spelling of 222112221012200 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 27086856221 54173712442 108347424884 135434281105 216694849768 270868562210 541737124420 677171405525 1083474248840 1110561105061 1354342811050 2221122210122 2708685622100 4442244420244 5417371244200 5552805525305 8884488840488 11105611050610 22211222101220 27764027626525 44422444202440 55528055253050 111056110506100 222112221012200