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220122212220 = 223256531872743
BaseRepresentation
bin1100110100000001001…
…1100110011101111100
3210001011200202222101200
43031000103212131330
512101302241242340
6245042302535500
721621555634521
oct3150023463574
9701150688350
10220122212220
1185398283059
12367b2597590
13179b0116921
14a9226db148
155ad4cd1330
hex33404e677c

220122212220 has 72 divisors (see below), whose sum is σ = 668726918496. Its totient is φ = 58609333632.

The previous prime is 220122212203. The next prime is 220122212269. The reversal of 220122212220 is 22212221022.

220122212220 is a `hidden beast` number, since 220 + 1 + 2 + 221 + 2 + 220 = 666.

220122212220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220122212193 and 220122212202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818832 + ... + 1053911.

It is an arithmetic number, because the mean of its divisors is an integer number (9287873868).

Almost surely, 2220122212220 is an apocalyptic number.

220122212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122212220 is an abundant number, since it is smaller than the sum of its proper divisors (448604706276).

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

220122212220 is a wasteful number, since it uses less digits than its factorization.

220122212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873411 (or 1873406 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220122212220 its reverse (22212221022), we get a palindrome (242334433242).

The spelling of 220122212220 in words is "two hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 653 1306 1959 2612 3265 3918 5877 6530 7836 9795 11754 13060 19590 23508 29385 39180 58770 117540 1872743 3745486 5618229 7490972 9363715 11236458 16854687 18727430 22472916 28091145 33709374 37454860 56182290 67418748 84273435 112364580 168546870 337093740 1222901179 2445802358 3668703537 4891604716 6114505895 7337407074 11006110611 12229011790 14674814148 18343517685 22012221222 24458023580 36687035370 44024442444 55030553055 73374070740 110061106110 220122212220