221060400 has 120 divisors (see below), whose sum is σ = 772551744. Its totient is φ = 53587200.

The previous prime is 221060387. The next prime is 221060449. The reversal of 221060400 is 4060122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221060400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4827 + ... + 21573.

Almost surely, 2^221060400 is an apocalyptic number.

221060400 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 221060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386275872).

221060400 is an abundant number, since it is smaller than the sum of its proper divisors (551491344).

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

221060400 is a wasteful number, since it uses less digits than its factorization.

221060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16779 (or 16768 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221060400 is about 14868.1000803734. The cubic root of 221060400 is about 604.6494337687.

The spelling of 221060400 in words is "two hundred twenty-one million, sixty thousand, four hundred".