221346752 has 84 divisors (see below), whose sum is σ = 489298488. Its totient is φ = 99264000.

The previous prime is 221346739. The next prime is 221346767. The reversal of 221346752 is 257643122.

221346752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 782003 + ... + 782285.

It is an arithmetic number, because the mean of its divisors is an integer number (5824982).

Almost surely, 2^221346752 is an apocalyptic number.

221346752 is a gapful number since it is divisible by the number (22) 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 221346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244649244).

221346752 is an abundant number, since it is smaller than the sum of its proper divisors (267951736).

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

221346752 is a wasteful number, since it uses less digits than its factorization.

221346752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 397 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 221346752 is about 14877.7267080693. The cubic root of 221346752 is about 604.9103999541.

Adding to 221346752 its reverse (257643122), we get a palindrome (478989874).

The spelling of 221346752 in words is "two hundred twenty-one million, three hundred forty-six thousand, seven hundred fifty-two".