221625456 has 80 divisors (see below), whose sum is σ = 620439456. Its totient is φ = 67765248.

The previous prime is 221625451. The next prime is 221625461. The reversal of 221625456 is 654526122.

It is an interprime number because it is at equal distance from previous prime (221625451) and next prime (221625461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221625451) 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, 106926 + ... + 108978.

Almost surely, 2^221625456 is an apocalyptic number.

221625456 is a gapful number since it is divisible by the number (26) 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 221625456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310219728).

221625456 is an abundant number, since it is smaller than the sum of its proper divisors (398814000).

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

221625456 is a wasteful number, since it uses less digits than its factorization.

221625456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2244 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 221625456 is about 14887.0902462503. The cubic root of 221625456 is about 605.1641801080.

It can be divided in two parts, 2216 and 25456, that added together give a palindrome (27672).

The spelling of 221625456 in words is "two hundred twenty-one million, six hundred twenty-five thousand, four hundred fifty-six".