224282100 has 72 divisors (see below), whose sum is σ = 741633088. Its totient is φ = 51264000.

The previous prime is 224282081. The next prime is 224282111. The reversal of 224282100 is 1282422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51301 + ... + 55500.

Almost surely, 2^224282100 is an apocalyptic number.

224282100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224282100 is an abundant number, since it is smaller than the sum of its proper divisors (517350988).

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

224282100 is a wasteful number, since it uses less digits than its factorization.

224282100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106825 (or 106818 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 224282100 is about 14976.0508813238. The cubic root of 224282100 is about 607.5726343744.

The spelling of 224282100 in words is "two hundred twenty-four million, two hundred eighty-two thousand, one hundred".