226821504 has 128 divisors (see below), whose sum is σ = 741646080. Its totient is φ = 59811840.

The previous prime is 226821481. The next prime is 226821521. The reversal of 226821504 is 405128622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31699 + ... + 38189.

It is an arithmetic number, because the mean of its divisors is an integer number (5794110).

Almost surely, 2^226821504 is an apocalyptic number.

226821504 is a gapful number since it is divisible by the number (24) 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 226821504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370823040).

226821504 is an abundant number, since it is smaller than the sum of its proper divisors (514824576).

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

226821504 is a wasteful number, since it uses less digits than its factorization.

226821504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 226821504 is about 15060.5944105802. The cubic root of 226821504 is about 609.8570873663.

The spelling of 226821504 in words is "two hundred twenty-six million, eight hundred twenty-one thousand, five hundred four".