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211201220 = 22516576373
BaseRepresentation
bin11001001011010…
…10110011000100
3112201102010121102
430211222303010
5413031414340
632542435232
75143115666
oct1445526304
9481363542
10211201220
11a924366a
125a892b18
13349a9849
142009a536
151381d215
hexc96acc4

211201220 has 24 divisors (see below), whose sum is σ = 443859864. Its totient is φ = 84416256.

The previous prime is 211201147. The next prime is 211201223. The reversal of 211201220 is 22102112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33085504 + 178115716 = 5752^2 + 13346^2 .

It is not an unprimeable number, because it can be changed into a prime (211201223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29954 + ... + 36326.

It is an arithmetic number, because the mean of its divisors is an integer number (18494161).

Almost surely, 2211201220 is an apocalyptic number.

211201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201220 is an abundant number, since it is smaller than the sum of its proper divisors (232658644).

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

211201220 is a wasteful number, since it uses less digits than its factorization.

211201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039 (or 8037 counting only the distinct ones).

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

The square root of 211201220 is about 14532.7636738509. The cubic root of 211201220 is about 595.5233678604.

Adding to 211201220 its reverse (22102112), we get a palindrome (233303332).

The spelling of 211201220 in words is "two hundred eleven million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1657 3314 6373 6628 8285 12746 16570 25492 31865 33140 63730 127460 10560061 21120122 42240244 52800305 105600610 211201220