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220222000100 = 225217129542353
BaseRepresentation
bin1100110100011001000…
…0010000101111100100
3210001102122112201122002
43031012100100233210
512102003313000400
6245100225424432
721624210054344
oct3150620205744
9701378481562
10220222000100
118543963a183
123681ba9b118
13179c79b49cb
14a931a74d24
155add942ed5
hex3346410be4

220222000100 has 36 divisors (see below), whose sum is σ = 505992434724. Its totient is φ = 82907105280.

The previous prime is 220222000093. The next prime is 220222000121. The reversal of 220222000100 is 1000222022.

It can be written as a sum of positive squares in 6 ways, for example, as 547934464 + 219674065636 = 23408^2 + 468694^2 .

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, 64769477 + ... + 64772876.

It is an arithmetic number, because the mean of its divisors is an integer number (14055345409).

Almost surely, 2220222000100 is an apocalyptic number.

220222000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220222000100 is an abundant number, since it is smaller than the sum of its proper divisors (285770434624).

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

220222000100 is a wasteful number, since it uses less digits than its factorization.

220222000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129542384 (or 129542377 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 220222000100 its reverse (1000222022), we get a palindrome (221222222122).

The spelling of 220222000100 in words is "two hundred twenty billion, two hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 129542353 259084706 518169412 647711765 1295423530 2202220001 2590847060 3238558825 4404440002 6477117650 8808880004 11011100005 12954235300 22022200010 44044400020 55055500025 110111000050 220222000100