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220220202210020 = 225137733109648481
BaseRepresentation
bin110010000100101000000010…
…111011001101001011100100
31001212201211211112101211222022
4302010220002323031023210
5212331041433231210040
62100211433025122312
764246245622261055
oct6204500273151344
91055654745354868
10220220202210020
1164194955022a21
1220848198189398
1395b58a31188bc
143c54a0104472c
151a6d675c596b5
hexc84a02ecd2e4

220220202210020 has 48 divisors (see below), whose sum is σ = 466473589627248. Its totient is φ = 87325803847680.

The previous prime is 220220202210017. The next prime is 220220202210083. The reversal of 220220202210020 is 20012202022022.

It can be written as a sum of positive squares in 8 ways, for example, as 16521997455076 + 203698204754944 = 4064726^2 + 14272288^2 .

It is a super-2 number, since 2×2202202022100202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52815821 + ... + 56832660.

It is an arithmetic number, because the mean of its divisors is an integer number (9718199783901).

Almost surely, 2220220202210020 is an apocalyptic number.

220220202210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220220202210020 is an abundant number, since it is smaller than the sum of its proper divisors (246253387417228).

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

220220202210020 is a wasteful number, since it uses less digits than its factorization.

220220202210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109649360 (or 109649358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 220220202210020 its reverse (20012202022022), we get a palindrome (240232404232042).

The spelling of 220220202210020 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 733 1370 1466 2740 2932 3665 7330 14660 100421 200842 401684 502105 1004210 2008420 109648481 219296962 438593924 548242405 1096484810 2192969620 15021841897 30043683794 60087367588 75109209485 80372336573 150218418970 160744673146 300436837940 321489346292 401861682865 803723365730 1607446731460 11011010110501 22022020221002 44044040442004 55055050552505 110110101105010 220220202210020