221453040 has 80 divisors (see below), whose sum is σ = 690241536. Its totient is φ = 58732800.

The previous prime is 221453021. The next prime is 221453041. The reversal of 221453040 is 40354122.

221453040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 221452998 and 221453016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221453041) 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, 43425 + ... + 48255.

Almost surely, 2^221453040 is an apocalyptic number.

221453040 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 221453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345120768).

221453040 is an abundant number, since it is smaller than the sum of its proper divisors (468788496).

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

221453040 is a wasteful number, since it uses less digits than its factorization.

221453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5032 counting only the distinct ones).

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

The square root of 221453040 is about 14881.2983304549. The cubic root of 221453040 is about 605.0072079828.

The spelling of 221453040 in words is "two hundred twenty-one million, four hundred fifty-three thousand, forty".