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2225832 = 233713249
BaseRepresentation
bin1000011111011010101000
311012002021020
420133122220
51032211312
6115412440
724630210
oct10373250
94162236
102225832
111290334
128b4120
135cc17b
1441d240
152de78c
hex21f6a8

2225832 has 32 divisors (see below), whose sum is σ = 6360000. Its totient is φ = 635904.

The previous prime is 2225819. The next prime is 2225833. The reversal of 2225832 is 2385222.

2225832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 28 + 211 + 213 + 59 + 82 + 3 + 218 .

It is not an unprimeable number, because it can be changed into a prime (2225833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6457 + ... + 6792.

It is an arithmetic number, because the mean of its divisors is an integer number (198750).

22225832 is an apocalyptic number.

It is an amenable number.

2225832 is an abundant number, since it is smaller than the sum of its proper divisors (4134168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2225832 is a wasteful number, since it uses less digits than its factorization.

2225832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13265 (or 13261 counting only the distinct ones).

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

The square root of 2225832 is about 1491.9222499849. The cubic root of 2225832 is about 130.5662088250.

The spelling of 2225832 in words is "two million, two hundred twenty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 13249 26498 39747 52996 79494 92743 105992 158988 185486 278229 317976 370972 556458 741944 1112916 2225832