221355054 has 72 divisors (see below), whose sum is σ = 517575240. Its totient is φ = 68180832.

The previous prime is 221355047. The next prime is 221355061. The reversal of 221355054 is 450553122.

It is a happy number.

221355054 is a `hidden beast` number, since 22 + 135 + 505 + 4 = 666.

221355054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221355047) and next prime (221355061).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 755332 + ... + 755624.

It is an arithmetic number, because the mean of its divisors is an integer number (7188545).

Almost surely, 2^221355054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221355054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258787620).

221355054 is an abundant number, since it is smaller than the sum of its proper divisors (296220186).

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

221355054 is a wasteful number, since it uses less digits than its factorization.

221355054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 221355054 is about 14878.0057131324. The cubic root of 221355054 is about 604.9179626031.

The spelling of 221355054 in words is "two hundred twenty-one million, three hundred fifty-five thousand, fifty-four".