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2252313 = 33717701
BaseRepresentation
bin1000100101111000011001
311020102121000
420211320121
51034033223
6120135213
725100340
oct10457031
94212530
102252313
1112a9218
12907509
1360b23b
14428b57
152e7543
hex225e19

2252313 has 32 divisors (see below), whose sum is σ = 4043520. Its totient is φ = 1209600.

The previous prime is 2252311. The next prime is 2252353. The reversal of 2252313 is 3132522.

It is not a de Polignac number, because 2252313 - 21 = 2252311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2252311) 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, 2863 + ... + 3563.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

22252313 is an apocalyptic number.

It is an amenable number.

2252313 is a deficient number, since it is larger than the sum of its proper divisors (1791207).

2252313 is a wasteful number, since it uses less digits than its factorization.

2252313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 2252313 is about 1500.7708019548. The cubic root of 2252313 is about 131.0819563687.

Adding to 2252313 its reverse (3132522), we get a palindrome (5384835).

The spelling of 2252313 in words is "two million, two hundred fifty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 701 1071 2103 3213 4907 6309 11917 14721 18927 35751 44163 83419 107253 132489 250257 321759 750771 2252313