221126976 has 224 divisors, whose sum is σ = 754440960. Its totient is φ = 62208000.

The previous prime is 221126957. The next prime is 221126977. The reversal of 221126976 is 679621122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221126976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221126977) 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, 1221606 + ... + 1221786.

It is an arithmetic number, because the mean of its divisors is an integer number (3368040).

Almost surely, 2^221126976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377220480).

221126976 is an abundant number, since it is smaller than the sum of its proper divisors (533313984).

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

221126976 is a wasteful number, since it uses less digits than its factorization.

221126976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 221126976 is about 14870.3387990994. The cubic root of 221126976 is about 604.7101277393.

221126976 divided by its sum of digits (36) gives a palindrome (6142416).

The spelling of 221126976 in words is "two hundred twenty-one million, one hundred twenty-six thousand, nine hundred seventy-six".