221010480 has 120 divisors (see below), whose sum is σ = 748380672. Its totient is φ = 58447872.

The previous prime is 221010469. The next prime is 221010481. The reversal of 221010480 is 84010122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221010481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90232 + ... + 92648.

Almost surely, 2^221010480 is an apocalyptic number.

221010480 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 221010480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374190336).

221010480 is an abundant number, since it is smaller than the sum of its proper divisors (527370192).

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

221010480 is a wasteful number, since it uses less digits than its factorization.

221010480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 221010480 is about 14866.4212236839. The cubic root of 221010480 is about 604.6039162358.

The spelling of 221010480 in words is "two hundred twenty-one million, ten thousand, four hundred eighty".