221057424 has 225 divisors, whose sum is σ = 757090587. Its totient is φ = 62088768.

The previous prime is 221057411. The next prime is 221057429. The reversal of 221057424 is 424750122.

The square root of 221057424 is 14868.

It is a perfect power (a square), and thus also a powerful number.

221057424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221057429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3746707 + ... + 3746765.

Almost surely, 2^221057424 is an apocalyptic number.

221057424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

221057424 is the 14868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221057424

221057424 is an abundant number, since it is smaller than the sum of its proper divisors (536033163).

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

221057424 is an equidigital number, since it uses as much as digits as its factorization.

221057424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The cubic root of 221057424 is about 604.6467204156.

The spelling of 221057424 in words is "two hundred twenty-one million, fifty-seven thousand, four hundred twenty-four".