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2252657 = 11218617
BaseRepresentation
bin1000100101111101110001
311020110001202
420211331301
51034041112
6120140545
725101341
oct10457561
94213052
102252657
1112a9500
12907755
1360b444
14428d21
152e76c2
hex225f71

2252657 has 6 divisors (see below), whose sum is σ = 2476194. Its totient is φ = 2047760.

The previous prime is 2252651. The next prime is 2252681. The reversal of 2252657 is 7562522.

It can be written as a sum of positive squares in only one way, i.e., 2238016 + 14641 = 1496^2 + 121^2 .

It is not a de Polignac number, because 2252657 - 216 = 2187121 is a prime.

It is a d-powerful number, because it can be written as 24 + 26 + 55 + 214 + 67 + 59 + 7 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2252651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9188 + ... + 9429.

It is an arithmetic number, because the mean of its divisors is an integer number (412699).

22252657 is an apocalyptic number.

It is an amenable number.

2252657 is a deficient number, since it is larger than the sum of its proper divisors (223537).

2252657 is a wasteful number, since it uses less digits than its factorization.

2252657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18639 (or 18628 counting only the distinct ones).

The product of its digits is 8400, while the sum is 29.

The square root of 2252657 is about 1500.8854053525. The cubic root of 2252657 is about 131.0886294935.

It can be divided in two parts, 225 and 2657, that added together give a palindrome (2882).

The spelling of 2252657 in words is "two million, two hundred fifty-two thousand, six hundred fifty-seven".

Divisors: 1 11 121 18617 204787 2252657