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212101220 = 22539726713
BaseRepresentation
bin11001010010001…
…10100001100100
3112210002212011202
430221012201210
5413244214340
633014022032
75153554622
oct1451064144
9483085152
10212101220
11a97a8871
125b047918
1334c333a6
1420252512
1513949c15
hexca46864

212101220 has 24 divisors (see below), whose sum is σ = 446551224. Its totient is φ = 84623616.

The previous prime is 212101207. The next prime is 212101223. The reversal of 212101220 is 22101212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 93857344 + 118243876 = 9688^2 + 10874^2 .

It is not an unprimeable number, because it can be changed into a prime (212101223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5417 + ... + 21296.

It is an arithmetic number, because the mean of its divisors is an integer number (18606301).

Almost surely, 2212101220 is an apocalyptic number.

212101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101220 is an abundant number, since it is smaller than the sum of its proper divisors (234450004).

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

212101220 is a wasteful number, since it uses less digits than its factorization.

212101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27119 (or 27117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 212101220 is about 14563.6952728351. The cubic root of 212101220 is about 596.3680781170.

Adding to 212101220 its reverse (22101212), we get a palindrome (234202432).

The spelling of 212101220 in words is "two hundred twelve million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 397 794 1588 1985 3970 7940 26713 53426 106852 133565 267130 534260 10605061 21210122 42420244 53025305 106050610 212101220