56224100 has 36 divisors (see below), whose sum is σ = 129187044. Its totient is φ = 21166080.

The previous prime is 56224087. The next prime is 56224123. The reversal of 56224100 is 142265.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4096 + 56220004 = 64^2 + 7498^2 .

It is a super-2 number, since 2×56224100² = 6322298841620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14837 + ... + 18236.

It is an arithmetic number, because the mean of its divisors is an integer number (3588529).

Almost surely, 2^56224100 is an apocalyptic number.

56224100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56224100 is an abundant number, since it is smaller than the sum of its proper divisors (72962944).

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

56224100 is a wasteful number, since it uses less digits than its factorization.

56224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33104 (or 33097 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 56224100 is about 7498.2731345290. The cubic root of 56224100 is about 383.0959000152.

Adding to 56224100 its reverse (142265), we get a palindrome (56366365).

The spelling of 56224100 in words is "fifty-six million, two hundred twenty-four thousand, one hundred".