224969400 has 168 divisors, whose sum is σ = 784730280. Its totient is φ = 59952960.

The previous prime is 224969399. The next prime is 224969413. The reversal of 224969400 is 4969422.

224969400 is a `hidden beast` number, since 2 + 249 + 6 + 9 + 400 = 666.

It is a super-2 number, since 2×224969400² = 101222461872720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145029 + ... + 146571.

Almost surely, 2^224969400 is an apocalyptic number.

224969400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224969400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392365140).

224969400 is an abundant number, since it is smaller than the sum of its proper divisors (559760880).

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

224969400 is a wasteful number, since it uses less digits than its factorization.

224969400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 224969400 is about 14998.9799653176. The cubic root of 224969400 is about 608.1926256582.

The spelling of 224969400 in words is "two hundred twenty-four million, nine hundred sixty-nine thousand, four hundred".