221542152 has 128 divisors (see below), whose sum is σ = 617621760. Its totient is φ = 65802240.

The previous prime is 221542103. The next prime is 221542163. The reversal of 221542152 is 251245122.

It is a super-2 number, since 2×221542152² = 98161850225582208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1617028 + ... + 1617164.

It is an arithmetic number, because the mean of its divisors is an integer number (4825170).

Almost surely, 2^221542152 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 221542152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308810880).

221542152 is an abundant number, since it is smaller than the sum of its proper divisors (396079608).

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

221542152 is a wasteful number, since it uses less digits than its factorization.

221542152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 221542152 is about 14884.2921229059. The cubic root of 221542152 is about 605.0883480933.

Adding to 221542152 its reverse (251245122), we get a palindrome (472787274).

The spelling of 221542152 in words is "two hundred twenty-one million, five hundred forty-two thousand, one hundred fifty-two".