221734320 has 80 divisors (see below), whose sum is σ = 709573632. Its totient is φ = 57219840.

The previous prime is 221734301. The next prime is 221734321. The reversal of 221734320 is 23437122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×221734320² = 98332217331724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221734321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7462 + ... + 22341.

Almost surely, 2^221734320 is an apocalyptic number.

221734320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221734320 is an abundant number, since it is smaller than the sum of its proper divisors (487839312).

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

221734320 is a wasteful number, since it uses less digits than its factorization.

221734320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29850 (or 29844 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 221734320 is about 14890.7461196543. The cubic root of 221734320 is about 605.2632508712.

The spelling of 221734320 in words is "two hundred twenty-one million, seven hundred thirty-four thousand, three hundred twenty".