221461240 has 128 divisors (see below), whose sum is σ = 669150720. Its totient is φ = 63705600.

The previous prime is 221461231. The next prime is 221461249. The reversal of 221461240 is 42164122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221461231) and next prime (221461249).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221461249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37275 + ... + 42805.

It is an arithmetic number, because the mean of its divisors is an integer number (5227740).

Almost surely, 2^221461240 is an apocalyptic number.

221461240 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 221461240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334575360).

221461240 is an abundant number, since it is smaller than the sum of its proper divisors (447689480).

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

221461240 is a wasteful number, since it uses less digits than its factorization.

221461240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5573 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 221461240 is about 14881.5738414994. The cubic root of 221461240 is about 605.0146753265.

The spelling of 221461240 in words is "two hundred twenty-one million, four hundred sixty-one thousand, two hundred forty".