224106900 has 72 divisors (see below), whose sum is σ = 682560480. Its totient is φ = 56615040.

The previous prime is 224106833. The next prime is 224106931. The reversal of 224106900 is 9601422.

It is a super-2 number, since 2×224106900² = 100447805255220000, which contains 22 as substring.

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, 13959 + ... + 25358.

Almost surely, 2^224106900 is an apocalyptic number.

224106900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224106900 is an abundant number, since it is smaller than the sum of its proper divisors (458453580).

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

224106900 is a wasteful number, since it uses less digits than its factorization.

224106900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39353 (or 39346 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 224106900 is about 14970.2003994603. The cubic root of 224106900 is about 607.4143895348.

The spelling of 224106900 in words is "two hundred twenty-four million, one hundred six thousand, nine hundred".