221252064 has 48 divisors (see below), whose sum is σ = 633588480. Its totient is φ = 67045760.

The previous prime is 221252039. The next prime is 221252081. The reversal of 221252064 is 460252122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103704 + ... + 105815.

It is an arithmetic number, because the mean of its divisors is an integer number (13199760).

Almost surely, 2^221252064 is an apocalyptic number.

221252064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221252064 is an abundant number, since it is smaller than the sum of its proper divisors (412336416).

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

221252064 is a wasteful number, since it uses less digits than its factorization.

221252064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209543 (or 209535 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 221252064 is about 14874.5441610827. The cubic root of 221252064 is about 604.8241312003.

The spelling of 221252064 in words is "two hundred twenty-one million, two hundred fifty-two thousand, sixty-four".