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2232640 = 2656977
BaseRepresentation
bin1000100001000101000000
311012102121101
420201011000
51032421030
6115504144
724656104
oct10410500
94172541
102232640
111295463
128b8054
136022b7
14421904
152e17ca
hex221140

2232640 has 28 divisors (see below), whose sum is σ = 5317236. Its totient is φ = 892928.

The previous prime is 2232613. The next prime is 2232653. The reversal of 2232640 is 462322.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 1617984 = 784^2 + 1272^2 .

It is a super-3 number, since 3×22326403 = 33386997039071232000, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3169 + ... + 3808.

22232640 is an apocalyptic number.

2232640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232640 is an abundant number, since it is smaller than the sum of its proper divisors (3084596).

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

2232640 is an equidigital number, since it uses as much as digits as its factorization.

2232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2232640 is about 1494.2021282276. The cubic root of 2232640 is about 130.6991913112.

Adding to 2232640 its reverse (462322), we get a palindrome (2694962).

It can be divided in two parts, 22326 and 40, that added together give a triangular number (22366 = T211).

The spelling of 2232640 in words is "two million, two hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6977 13954 27908 34885 55816 69770 111632 139540 223264 279080 446528 558160 1116320 2232640