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56224 = 257251
BaseRepresentation
bin1101101110100000
32212010101
431232200
53244344
61112144
7322630
oct155640
985111
1056224
1139273
1228654
131c78c
14166c0
15119d4
hexdba0

56224 has 24 divisors (see below), whose sum is σ = 127008. Its totient is φ = 24000.

The previous prime is 56209. The next prime is 56237. The reversal of 56224 is 42265.

56224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562242 = 6322276352, which contains 22 as substring.

It is a nialpdrome in base 9 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

256224 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 56224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).

56224 is an abundant number, since it is smaller than the sum of its proper divisors (70784).

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

56224 is a wasteful number, since it uses less digits than its factorization.

56224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 56224 is about 237.1160053645. The cubic root of 56224 is about 38.3095672891.

Adding to 56224 its reverse (42265), we get a palindrome (98489).

It can be divided in two parts, 56 and 224, that multiplied together give a square (12544 = 1122).

The spelling of 56224 in words is "fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 251 502 1004 1757 2008 3514 4016 7028 8032 14056 28112 56224