221626125 has 160 divisors (see below), whose sum is σ = 489265920. Its totient is φ = 97718400.

The previous prime is 221626123. The next prime is 221626129. The reversal of 221626125 is 521626122.

221626125 is a `hidden beast` number, since 2 + 21 + 626 + 12 + 5 = 666.

It is not a de Polignac number, because 221626125 - 2¹ = 221626123 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221626123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3756346 + ... + 3756404.

It is an arithmetic number, because the mean of its divisors is an integer number (3057912).

Almost surely, 2^221626125 is an apocalyptic number.

221626125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221626125 is an abundant number, since it is smaller than the sum of its proper divisors (267639795).

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

221626125 is an equidigital number, since it uses as much as digits as its factorization.

221626125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 221626125 is about 14887.1127153656. The cubic root of 221626125 is about 605.1647890248.

The spelling of 221626125 in words is "two hundred twenty-one million, six hundred twenty-six thousand, one hundred twenty-five".