221495040 has 576 divisors, whose sum is σ = 927158400. Its totient is φ = 49545216.

The previous prime is 221495009. The next prime is 221495041. The reversal of 221495040 is 40594122.

221495040 is digitally balanced in base 2, because in such base 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 (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221494995 and 221495013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221495041) 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, 7637746 + ... + 7637774.

It is an arithmetic number, because the mean of its divisors is an integer number (1609650).

Almost surely, 2^221495040 is an apocalyptic number.

221495040 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 221495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463579200).

221495040 is an abundant number, since it is smaller than the sum of its proper divisors (705663360).

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

221495040 is a wasteful number, since it uses less digits than its factorization.

221495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 221495040 is about 14882.7094307455. The cubic root of 221495040 is about 605.0454534072.

The spelling of 221495040 in words is "two hundred twenty-one million, four hundred ninety-five thousand, forty".