221038944 has 96 divisors (see below), whose sum is σ = 670150656. Its totient is φ = 62484480.

The previous prime is 221038943. The next prime is 221038969. The reversal of 221038944 is 449830122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221038943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63489 + ... + 66879.

It is an arithmetic number, because the mean of its divisors is an integer number (6980736).

Almost surely, 2^221038944 is an apocalyptic number.

221038944 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 221038944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335075328).

221038944 is an abundant number, since it is smaller than the sum of its proper divisors (449111712).

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

221038944 is a wasteful number, since it uses less digits than its factorization.

221038944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 221038944 is about 14867.3785180845. The cubic root of 221038944 is about 604.6298708227.

The spelling of 221038944 in words is "two hundred twenty-one million, thirty-eight thousand, nine hundred forty-four".