221461504 has 44 divisors (see below), whose sum is σ = 482977368. Its totient is φ = 100659200.

The previous prime is 221461477. The next prime is 221461543. The reversal of 221461504 is 405164122.

It is a happy number.

221461504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (44).

It is a congruent number.

It is an unprimeable number.

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, 1434 + ... + 21094.

Almost surely, 2^221461504 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 221461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241488684).

221461504 is an abundant number, since it is smaller than the sum of its proper divisors (261515864).

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

221461504 is a wasteful number, since it uses less digits than its factorization.

221461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19692 (or 19674 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 221461504 is about 14881.5827115264. The cubic root of 221461504 is about 605.0149157354.

The spelling of 221461504 in words is "two hundred twenty-one million, four hundred sixty-one thousand, five hundred four".