226798400 has 84 divisors (see below), whose sum is σ = 582424032. Its totient is φ = 86760960.

The previous prime is 226798393. The next prime is 226798409. The reversal of 226798400 is 4897622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226798409) 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 11 ways as a sum of consecutive naturals, for example, 33719 + ... + 39881.

Almost surely, 2^226798400 is an apocalyptic number.

226798400 is a gapful number since it is divisible by the number (20) 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 226798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291212016).

226798400 is an abundant number, since it is smaller than the sum of its proper divisors (355625632).

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

226798400 is a wasteful number, since it uses less digits than its factorization.

226798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 226798400 is about 15059.8273562481. The cubic root of 226798400 is about 609.8363800166.

The spelling of 226798400 in words is "two hundred twenty-six million, seven hundred ninety-eight thousand, four hundred".