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2122133 = 13229433
BaseRepresentation
bin1000000110000110010101
310222211000112
420012012111
51020402013
6113252405
724015656
oct10060625
93884015
102122133
11121a432
12864105
13593c00
143d352d
152bdba8
hex206195

2122133 has 12 divisors (see below), whose sum is σ = 2382660. Its totient is φ = 1886976.

The previous prime is 2122123. The next prime is 2122139. The reversal of 2122133 is 3312212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 677329 + 1444804 = 823^2 + 1202^2 .

It is not a de Polignac number, because 2122133 - 28 = 2121877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122139) 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, 4685 + ... + 5117.

It is an arithmetic number, because the mean of its divisors is an integer number (198555).

22122133 is an apocalyptic number.

It is an amenable number.

2122133 is a deficient number, since it is larger than the sum of its proper divisors (260527).

2122133 is a wasteful number, since it uses less digits than its factorization.

2122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 2122133 is about 1456.7542689143. The cubic root of 2122133 is about 128.5062349672.

Adding to 2122133 its reverse (3312212), we get a palindrome (5434345).

The spelling of 2122133 in words is "two million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 13 29 169 377 433 4901 5629 12557 73177 163241 2122133