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2242304 = 2819461
BaseRepresentation
bin1000100011011100000000
311012220212022
420203130000
51033223204
6120021012
725026221
oct10433400
94186768
102242304
1112a1749
12901768
1360680c
14425248
152e45be
hex223700

2242304 has 36 divisors (see below), whose sum is σ = 4721640. Its totient is φ = 1059840.

The previous prime is 2242291. The next prime is 2242307. The reversal of 2242304 is 4032422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4634 + ... + 5094.

22242304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360820).

2242304 is an abundant number, since it is smaller than the sum of its proper divisors (2479336).

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

2242304 is an equidigital number, since it uses as much as digits as its factorization.

2242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2242304 is about 1497.4324692620. The cubic root of 2242304 is about 130.8874973736.

Adding to 2242304 its reverse (4032422), we get a palindrome (6274726).

The spelling of 2242304 in words is "two million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 461 608 922 1216 1844 2432 3688 4864 7376 8759 14752 17518 29504 35036 59008 70072 118016 140144 280288 560576 1121152 2242304