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220121220 = 223511333517
BaseRepresentation
bin11010001111011…
…00100010000100
3120100012022112210
431013230202010
5422322334340
633501543420
75311666554
oct1507544204
9510168483
10220121220
11103286370
1261874b70
13367b0957
142133d164
15144d1180
hexd1ec884

220121220 has 48 divisors (see below), whose sum is σ = 672372288. Its totient is φ = 53362560.

The previous prime is 220121203. The next prime is 220121233. The reversal of 220121220 is 22121022.

220121220 is digitally balanced in base 3, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 220121196 and 220121205.

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, 166099 + ... + 167418.

It is an arithmetic number, because the mean of its divisors is an integer number (14007756).

Almost surely, 2220121220 is an apocalyptic number.

220121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220121220 is an abundant number, since it is smaller than the sum of its proper divisors (452251068).

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

220121220 is a wasteful number, since it uses less digits than its factorization.

220121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333540 (or 333538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220121220 is about 14836.4827368214. The cubic root of 220121220 is about 603.7919294123.

Adding to 220121220 its reverse (22121022), we get a palindrome (242242242).

It can be divided in two parts, 22012 and 1220, that added together give a palindrome (23232).

The spelling of 220121220 in words is "two hundred twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 333517 667034 1000551 1334068 1667585 2001102 3335170 3668687 4002204 5002755 6670340 7337374 10005510 11006061 14674748 18343435 20011020 22012122 36686870 44024244 55030305 73373740 110060610 220121220