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2252601 = 321321481
BaseRepresentation
bin1000100101111100111001
311020102222200
420211330321
51034040401
6120140413
725101231
oct10457471
94212880
102252601
1112a945a
12907709
1360b400
14428cc1
152e7686
hex225f39

2252601 has 18 divisors (see below), whose sum is σ = 3525678. Its totient is φ = 1385280.

The previous prime is 2252587. The next prime is 2252611. The reversal of 2252601 is 1062522.

2252601 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 2601 + 2250000 = 51^2 + 1500^2 .

It is not a de Polignac number, because 2252601 - 214 = 2236217 is a prime.

It is a super-2 number, since 2×22526012 = 10148422530402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2252611) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 781 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (195871).

22252601 is an apocalyptic number.

It is an amenable number.

2252601 is a deficient number, since it is larger than the sum of its proper divisors (1273077).

2252601 is a wasteful number, since it uses less digits than its factorization.

2252601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2252601 is about 1500.8667495817. The cubic root of 2252601 is about 131.0875432172.

It can be divided in two parts, 225 and 2601, that multiplied together give a square (585225 = 7652).

The spelling of 2252601 in words is "two million, two hundred fifty-two thousand, six hundred one".

Divisors: 1 3 9 13 39 117 169 507 1481 1521 4443 13329 19253 57759 173277 250289 750867 2252601