221755552 has 48 divisors (see below), whose sum is σ = 450275112. Its totient is φ = 107438080.

The previous prime is 221755549. The next prime is 221755559. The reversal of 221755552 is 255557122.

221755552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 215384976 + 6370576 = 14676^2 + 2524^2 .

It is not an unprimeable number, because it can be changed into a prime (221755559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226488 + ... + 227464.

Almost surely, 2^221755552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221755552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225137556).

221755552 is an abundant number, since it is smaller than the sum of its proper divisors (228519560).

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

221755552 is a wasteful number, since it uses less digits than its factorization.

221755552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1193 counting only the distinct ones).

The product of its digits is 35000, while the sum is 34.

The square root of 221755552 is about 14891.4590285841. The cubic root of 221755552 is about 605.2825690943.

The spelling of 221755552 in words is "two hundred twenty-one million, seven hundred fifty-five thousand, five hundred fifty-two".