221042976 has 192 divisors, whose sum is σ = 766402560. Its totient is φ = 54005760.

The previous prime is 221042971. The next prime is 221042977. The reversal of 221042976 is 679240122.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (221042971) 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, 124785 + ... + 126543.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^221042976 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 221042976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383201280).

221042976 is an abundant number, since it is smaller than the sum of its proper divisors (545359584).

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

221042976 is a wasteful number, since it uses less digits than its factorization.

221042976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 221042976 is about 14867.5141163545. The cubic root of 221042976 is about 604.6335471776.

The spelling of 221042976 in words is "two hundred twenty-one million, forty-two thousand, nine hundred seventy-six".