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2137221 = 32733253
BaseRepresentation
bin1000001001110010000101
311000120201100
420021302011
51021342341
6113450313
724110652
oct10116205
94016640
102137221
11122a7a9
12870999
1359aa38
143d8c29
152c33b6
hex209c85

2137221 has 12 divisors (see below), whose sum is σ = 3130348. Its totient is φ = 1404864.

The previous prime is 2137211. The next prime is 2137237. The reversal of 2137221 is 1227312.

It can be written as a sum of positive squares in 2 ways, for example, as 1822500 + 314721 = 1350^2 + 561^2 .

It is not a de Polignac number, because 2137221 - 211 = 2135173 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2137194 and 2137203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 970 + ... + 2283.

22137221 is an apocalyptic number.

It is an amenable number.

2137221 is a deficient number, since it is larger than the sum of its proper divisors (993127).

2137221 is a wasteful number, since it uses less digits than its factorization.

2137221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3329 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2137221 is about 1461.9237326208. The cubic root of 2137221 is about 128.8100684296.

Subtracting from 2137221 its reverse (1227312), we obtain a palindrome (909909).

The spelling of 2137221 in words is "two million, one hundred thirty-seven thousand, two hundred twenty-one".

Divisors: 1 3 9 73 219 657 3253 9759 29277 237469 712407 2137221