221100264 has 192 divisors, whose sum is σ = 786240000. Its totient is φ = 54380160.

The previous prime is 221100247. The next prime is 221100293. The reversal of 221100264 is 462001122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104287 + ... + 106385.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2^221100264 is an apocalyptic number.

221100264 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 221100264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120000).

221100264 is an abundant number, since it is smaller than the sum of its proper divisors (565139736).

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

221100264 is a wasteful number, since it uses less digits than its factorization.

221100264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221100264 is about 14869.4406081735. The cubic root of 221100264 is about 604.6857772240.

Adding to 221100264 its reverse (462001122), we get a palindrome (683101386).

The spelling of 221100264 in words is "two hundred twenty-one million, one hundred thousand, two hundred sixty-four".