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2253625 = 53112149
BaseRepresentation
bin1000100110001100111001
311020111101121
420212030321
51034104000
6120145241
725104223
oct10461471
94214347
102253625
1112aa200
12908221
1360ba0a
14429413
152e7b1a
hex226339

2253625 has 24 divisors (see below), whose sum is σ = 3112200. Its totient is φ = 1628000.

The previous prime is 2253617. The next prime is 2253637. The reversal of 2253625 is 5263522.

It can be written as a sum of positive squares in 4 ways, for example, as 393129 + 1860496 = 627^2 + 1364^2 .

It is not a de Polignac number, because 2253625 - 23 = 2253617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 23 + 27 + 57 + 34 + 6 + 221 + 57 .

It is a self number, because there is not a number n which added to its sum of digits gives 2253625.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15051 + ... + 15199.

It is an arithmetic number, because the mean of its divisors is an integer number (129675).

22253625 is an apocalyptic number.

2253625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2253625 is a deficient number, since it is larger than the sum of its proper divisors (858575).

2253625 is a wasteful number, since it uses less digits than its factorization.

2253625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 2253625 is about 1501.2078470352. The cubic root of 2253625 is about 131.1074037117.

The spelling of 2253625 in words is "two million, two hundred fifty-three thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 149 275 605 745 1375 1639 3025 3725 8195 15125 18029 18625 40975 90145 204875 450725 2253625