221235876 has 81 divisors (see below), whose sum is σ = 583464609. Its totient is φ = 70681248.

The previous prime is 221235869. The next prime is 221235881. The reversal of 221235876 is 678532122.

The square root of 221235876 is 14874.

It is a perfect power (a square), and thus also a powerful number.

221235876 is digitally balanced in base 3, 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 only one way, i.e., 197964900 + 23270976 = 14070^2 + 4824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221235876.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3301995 + ... + 3302061.

Almost surely, 2^221235876 is an apocalyptic number.

221235876 is the 14874-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221235876

221235876 is an abundant number, since it is smaller than the sum of its proper divisors (362228733).

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

221235876 is a wasteful number, since it uses less digits than its factorization.

221235876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 221235876 is about 604.8093801035.

Multiplying 221235876 by its sum of digits (36), we get a square (7964491536 = 89244²).

221235876 divided by its sum of digits (36) gives a square (6145441 = 2479²).

Adding to 221235876 its reverse (678532122), we get a palindrome (899767998).

It can be divided in two parts, 221235 and 876, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 221235876 in words is "two hundred twenty-one million, two hundred thirty-five thousand, eight hundred seventy-six".