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221212220 = 225411012671
BaseRepresentation
bin11010010111101…
…10111000111100
3120102020202010012
431023312320330
5423112242340
633541202352
75324162405
oct1513667074
9512222105
10221212220
11103961019
12621003b8
1336aa3408
14215449ac
1514649565
hexd2f6e3c

221212220 has 48 divisors (see below), whose sum is σ = 480767616. Its totient is φ = 85440000.

The previous prime is 221212219. The next prime is 221212223. The reversal of 221212220 is 22212122.

It is a junction number, because it is equal to n+sod(n) for n = 221212195 and 221212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81485 + ... + 84155.

It is an arithmetic number, because the mean of its divisors is an integer number (10015992).

Almost surely, 2221212220 is an apocalyptic number.

221212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240383808).

221212220 is an abundant number, since it is smaller than the sum of its proper divisors (259555396).

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

221212220 is a wasteful number, since it uses less digits than its factorization.

221212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 221212220 is about 14873.2047656179. The cubic root of 221212220 is about 604.7878225983.

Adding to 221212220 its reverse (22212122), we get a palindrome (243424342).

The spelling of 221212220 in words is "two hundred twenty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 820 1010 2020 2671 4141 5342 8282 10684 13355 16564 20705 26710 41410 53420 82820 109511 219022 269771 438044 539542 547555 1079084 1095110 1348855 2190220 2697710 5395420 11060611 22121222 44242444 55303055 110606110 221212220