221740464 has 80 divisors (see below), whose sum is σ = 640209024. Its totient is φ = 65548800.

The previous prime is 221740457. The next prime is 221740529. The reversal of 221740464 is 464047122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16527 + ... + 26769.

Almost surely, 2^221740464 is an apocalyptic number.

221740464 is a gapful number since it is divisible by the number (24) 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 221740464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320104512).

221740464 is an abundant number, since it is smaller than the sum of its proper divisors (418468560).

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

221740464 is a wasteful number, since it uses less digits than its factorization.

221740464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306 (or 10300 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 221740464 is about 14890.9524208494. The cubic root of 221740464 is about 605.2688411997.

Adding to 221740464 its reverse (464047122), we get a palindrome (685787586).

The spelling of 221740464 in words is "two hundred twenty-one million, seven hundred forty thousand, four hundred sixty-four".