221352 has 32 divisors (see below), whose sum is σ = 578880. Its totient is φ = 70400.

The previous prime is 221327. The next prime is 221393. The reversal of 221352 is 253122.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221352.

It is an unprimeable number.

221352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (18090).

2²²¹³⁵² 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 221352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289440).

221352 is an abundant number, since it is smaller than the sum of its proper divisors (357528).

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

221352 is a wasteful number, since it uses less digits than its factorization.

221352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 221352 is about 470.4806053388. The cubic root of 221352 is about 60.4915180605.

Adding to 221352 its reverse (253122), we get a palindrome (474474).

The spelling of 221352 in words is "two hundred twenty-one thousand, three hundred fifty-two".