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2137220 = 225106861
BaseRepresentation
bin1000001001110010000100
311000120201022
420021302010
51021342340
6113450312
724110651
oct10116204
94016638
102137220
11122a7a8
12870998
1359aa37
143d8c28
152c33b5
hex209c84

2137220 has 12 divisors (see below), whose sum is σ = 4488204. Its totient is φ = 854880.

The previous prime is 2137211. The next prime is 2137237. The reversal of 2137220 is 227312.

2137220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 988036 + 1149184 = 994^2 + 1072^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53411 + ... + 53450.

It is an arithmetic number, because the mean of its divisors is an integer number (374017).

22137220 is an apocalyptic number.

2137220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137220 is an abundant number, since it is smaller than the sum of its proper divisors (2350984).

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

2137220 is a wasteful number, since it uses less digits than its factorization.

2137220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106870 (or 106868 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 2137220 is about 1461.9233906057. The cubic root of 2137220 is about 128.8100483397.

The spelling of 2137220 in words is "two million, one hundred thirty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 106861 213722 427444 534305 1068610 2137220