221254320 has 320 divisors, whose sum is σ = 850231296. Its totient is φ = 46448640.

The previous prime is 221254289. The next prime is 221254321. The reversal of 221254320 is 23452122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (221254321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1742097 + ... + 1742223.

Almost surely, 2^221254320 is an apocalyptic number.

221254320 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 221254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425115648).

221254320 is an abundant number, since it is smaller than the sum of its proper divisors (628976976).

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

221254320 is a wasteful number, since it uses less digits than its factorization.

221254320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 221254320 is about 14874.6199951461. The cubic root of 221254320 is about 604.8261868928.

It can be divided in two parts, 221 and 254320, that added together give a triangular number (254541 = T₇₁₃).

The spelling of 221254320 in words is "two hundred twenty-one million, two hundred fifty-four thousand, three hundred twenty".