221652480 has 480 divisors, whose sum is σ = 895656960. Its totient is φ = 46448640.

The previous prime is 221652451. The next prime is 221652521. The reversal of 221652480 is 84256122.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7150065 + ... + 7150095.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2^221652480 is an apocalyptic number.

221652480 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 221652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447828480).

221652480 is an abundant number, since it is smaller than the sum of its proper divisors (674004480).

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

221652480 is a wasteful number, since it uses less digits than its factorization.

221652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 221652480 is about 14887.9978506178. The cubic root of 221652480 is about 605.1887760974.

The spelling of 221652480 in words is "two hundred twenty-one million, six hundred fifty-two thousand, four hundred eighty".