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2232825 = 35274253
BaseRepresentation
bin1000100001000111111001
311012102212020
420201013321
51032422300
6115505053
724656460
oct10410771
94172766
102232825
111295611
128b8189
136023ca
144219d7
152e18a0
hex2211f9

2232825 has 24 divisors (see below), whose sum is σ = 4219968. Its totient is φ = 1020480.

The previous prime is 2232821. The next prime is 2232827. The reversal of 2232825 is 5282322.

It is not a de Polignac number, because 2232825 - 22 = 2232821 is a prime.

It is a super-3 number, since 3×22328253 = 33395297221279546875, which contains 333 as substring.

2232825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2232795 and 2232804.

It is not an unprimeable number, because it can be changed into a prime (2232821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1602 + ... + 2651.

It is an arithmetic number, because the mean of its divisors is an integer number (175832).

22232825 is an apocalyptic number.

2232825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2232825 is a deficient number, since it is larger than the sum of its proper divisors (1987143).

2232825 is a wasteful number, since it uses less digits than its factorization.

2232825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4268 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2232825 is about 1494.2640328938. The cubic root of 2232825 is about 130.7028011904.

The spelling of 2232825 in words is "two million, two hundred thirty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 4253 12759 21265 29771 63795 89313 106325 148855 318975 446565 744275 2232825