226251504 has 120 divisors (see below), whose sum is σ = 693772560. Its totient is φ = 68511744.

The previous prime is 226251503. The next prime is 226251539. The reversal of 226251504 is 405152622.

226251504 is a `hidden beast` number, since 22 + 625 + 15 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226251503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69399 + ... + 72585.

It is an arithmetic number, because the mean of its divisors is an integer number (5781438).

Almost surely, 2^226251504 is an apocalyptic number.

226251504 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 226251504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346886280).

226251504 is an abundant number, since it is smaller than the sum of its proper divisors (467521056).

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

226251504 is a wasteful number, since it uses less digits than its factorization.

226251504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 226251504 is about 15041.6589510599. The cubic root of 226251504 is about 609.3458040766.

It can be divided in two parts, 22 and 6251504, that added together give a palindrome (6251526).

The spelling of 226251504 in words is "two hundred twenty-six million, two hundred fifty-one thousand, five hundred four".