221734800 has 360 divisors, whose sum is σ = 920253600. Its totient is φ = 50561280.

The previous prime is 221734781. The next prime is 221734811. The reversal of 221734800 is 8437122.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 528991 + ... + 529409.

It is an arithmetic number, because the mean of its divisors is an integer number (2556260).

Almost surely, 2^221734800 is an apocalyptic number.

221734800 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 221734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460126800).

221734800 is an abundant number, since it is smaller than the sum of its proper divisors (698518800).

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

221734800 is a wasteful number, since it uses less digits than its factorization.

221734800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 221734800 is about 14890.7622370381. The cubic root of 221734800 is about 605.2636876193.

The spelling of 221734800 in words is "two hundred twenty-one million, seven hundred thirty-four thousand, eight hundred".