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2243232 = 25327789
BaseRepresentation
bin1000100011101010100000
311012222010200
420203222200
51033240412
6120025200
725032015
oct10435240
94188120
102243232
1112a2412
12902200
13607074
1442570c
152e49dc
hex223aa0

2243232 has 36 divisors (see below), whose sum is σ = 6380010. Its totient is φ = 747648.

The previous prime is 2243221. The next prime is 2243251. The reversal of 2243232 is 2323422.

2243232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1838736 + 404496 = 1356^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 23 + 213 + 4 + 35 + 217 + 38 + 221 .

2243232 is a modest number, since divided by 3232 gives 224 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3607 + ... + 4182.

22243232 is an apocalyptic number.

It is an amenable number.

2243232 is an abundant number, since it is smaller than the sum of its proper divisors (4136778).

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

2243232 is a wasteful number, since it uses less digits than its factorization.

2243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805 (or 7794 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 2243232 is about 1497.7423009316. The cubic root of 2243232 is about 130.9055512511.

Adding to 2243232 its reverse (2323422), we get a palindrome (4566654).

The spelling of 2243232 in words is "two million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7789 15578 23367 31156 46734 62312 70101 93468 124624 140202 186936 249248 280404 373872 560808 747744 1121616 2243232