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2325625 = 54612
BaseRepresentation
bin1000110111110001111001
311101011011021
420313301321
51043410000
6121502441
725524151
oct10676171
94334137
102325625
111349305
12941a21
13635713
14447761
1530e11a
hex237c79

2325625 has 15 divisors (see below), whose sum is σ = 2954523. Its totient is φ = 1830000.

The previous prime is 2325623. The next prime is 2325629. The reversal of 2325625 is 5265232.

2325625 = 732 + 742 + ... + 1942.

The square root of 2325625 is 1525.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2301289 + 24336 = 1517^2 + 156^2 .

It is not a de Polignac number, because 2325625 - 21 = 2325623 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 26 + 313 + 27 + 57 + 63 + 218 + 58 .

It is a Duffinian number.

2325625 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2325625.

It is not an unprimeable number, because it can be changed into a prime (2325623) 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 14 ways as a sum of consecutive naturals, for example, 38095 + ... + 38155.

22325625 is an apocalyptic number.

2325625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2325625 is the 1525-th square number.

2325625 is the 763-rd centered octagonal number.

It is an amenable number.

2325625 is a deficient number, since it is larger than the sum of its proper divisors (628898).

2325625 is an frugal number, since it uses more digits than its factorization.

2325625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 66 counting only the distinct ones).

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

The cubic root of 2325625 is about 132.4890224678.

Multiplying 2325625 by its sum of digits (25), we get a square (58140625 = 76252).

2325625 divided by its sum of digits (25) gives a square (93025 = 3052).

Multiplying 2325625 by its product of digits (3600), we get a square (8372250000 = 915002).

The spelling of 2325625 in words is "two million, three hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 61 125 305 625 1525 3721 7625 18605 38125 93025 465125 2325625