221964960 has 192 divisors, whose sum is σ = 825237504. Its totient is φ = 49075200.

The previous prime is 221964947. The next prime is 221964983. The reversal of 221964960 is 69469122.

221964960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103095 + ... + 105225.

It is an arithmetic number, because the mean of its divisors is an integer number (4298112).

Almost surely, 2^221964960 is an apocalyptic number.

221964960 is a gapful number since it is divisible by the number (20) 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 221964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412618752).

221964960 is an abundant number, since it is smaller than the sum of its proper divisors (603272544).

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

221964960 is a wasteful number, since it uses less digits than its factorization.

221964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 221964960 is about 14898.4885139399. The cubic root of 221964960 is about 605.4730357804.

The spelling of 221964960 in words is "two hundred twenty-one million, nine hundred sixty-four thousand, nine hundred sixty".