221553416 has 16 divisors (see below), whose sum is σ = 474757440. Its totient is φ = 94951440.

The previous prime is 221553361. The next prime is 221553419. The reversal of 221553416 is 614355122.

It is a super-2 number, since 2×221553416² = 98171832282538112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221553419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1978100 + ... + 1978211.

It is an arithmetic number, because the mean of its divisors is an integer number (29672340).

Almost surely, 2^221553416 is an apocalyptic number.

It is an amenable number.

221553416 is an abundant number, since it is smaller than the sum of its proper divisors (253204024).

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

221553416 is a wasteful number, since it uses less digits than its factorization.

221553416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956324 (or 3956320 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 221553416 is about 14884.6705035751. The cubic root of 221553416 is about 605.0986028756.

The spelling of 221553416 in words is "two hundred twenty-one million, five hundred fifty-three thousand, four hundred sixteen".