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2252637 = 3383431
BaseRepresentation
bin1000100101111101011101
311020110001000
420211331131
51034041022
6120140513
725101312
oct10457535
94213030
102252637
1112a9492
12907739
1360b42a
14428d09
152e76ac
hex225f5d

2252637 has 8 divisors (see below), whose sum is σ = 3337280. Its totient is φ = 1501740.

The previous prime is 2252629. The next prime is 2252639. The reversal of 2252637 is 7362522.

2252637 is a `hidden beast` number, since 2 + 25 + 2 + 637 = 666.

It is not a de Polignac number, because 2252637 - 23 = 2252629 is a prime.

It is a super-3 number, since 3×22526373 = 34292164181333516559, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 83431 = 2252637 / (2 + 2 + 5 + 2 + 6 + 3 + 7).

It is a d-powerful number, because it can be written as 22 + 211 + 58 + 220 + 67 + 312 + 7 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2252637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41689 + ... + 41742.

It is an arithmetic number, because the mean of its divisors is an integer number (417160).

22252637 is an apocalyptic number.

2252637 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2252637 is a deficient number, since it is larger than the sum of its proper divisors (1084643).

2252637 is an equidigital number, since it uses as much as digits as its factorization.

2252637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83440 (or 83434 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 2252637 is about 1500.8787426038. The cubic root of 2252637 is about 131.0882415398.

The spelling of 2252637 in words is "two million, two hundred fifty-two thousand, six hundred thirty-seven".

Divisors: 1 3 9 27 83431 250293 750879 2252637