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2137233 = 3733167
BaseRepresentation
bin1000001001110010010001
311000120201210
420021302101
51021342413
6113450333
724111000
oct10116221
94016653
102137233
11122a80a
128709a9
1359aa47
143d8c37
152c33c3
hex209c91

2137233 has 32 divisors (see below), whose sum is σ = 3481600. Its totient is φ = 1164240.

The previous prime is 2137211. The next prime is 2137237. The reversal of 2137233 is 3327312.

It is not a de Polignac number, because 2137233 - 28 = 2136977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 27 + 1 + 35 + 73 + 221 + 39 + 39 .

It is a Duffinian number.

Its product of digits (756) is a multiple of the sum of its prime divisors (108).

It is a Curzon number.

2137233 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31866 + ... + 31932.

It is an arithmetic number, because the mean of its divisors is an integer number (108800).

22137233 is an apocalyptic number.

It is an amenable number.

2137233 is a deficient number, since it is larger than the sum of its proper divisors (1344367).

2137233 is an equidigital number, since it uses as much as digits as its factorization.

2137233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 2137233 is about 1461.9278367963. The cubic root of 2137233 is about 128.8103095087.

The spelling of 2137233 in words is "two million, one hundred thirty-seven thousand, two hundred thirty-three".

Divisors: 1 3 7 21 31 49 67 93 147 201 217 343 469 651 1029 1407 1519 2077 3283 4557 6231 9849 10633 14539 22981 31899 43617 68943 101773 305319 712411 2137233