224200704 has 192 divisors, whose sum is σ = 737493120. Its totient is φ = 58982400.

The previous prime is 224200699. The next prime is 224200727. The reversal of 224200704 is 407002422.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 558904 + ... + 559304.

It is an arithmetic number, because the mean of its divisors is an integer number (3841110).

Almost surely, 2^224200704 is an apocalyptic number.

224200704 is a gapful number since it is divisible by the number (24) 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 224200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368746560).

224200704 is an abundant number, since it is smaller than the sum of its proper divisors (513292416).

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

224200704 is a wasteful number, since it uses less digits than its factorization.

224200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 224200704 is about 14973.3330958741. Note that the first 3 decimals coincide. The cubic root of 224200704 is about 607.4991258095.

The spelling of 224200704 in words is "two hundred twenty-four million, two hundred thousand, seven hundred four".