226492800 has 96 divisors (see below), whose sum is σ = 746042280. Its totient is φ = 60395520.

The previous prime is 226492771. The next prime is 226492823. The reversal of 226492800 is 8294622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2197 + ... + 21396.

It is the magic constant of a 768 × 768 magic square.

Almost surely, 2^226492800 is an apocalyptic number.

226492800 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 226492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373021140).

226492800 is an abundant number, since it is smaller than the sum of its proper divisors (519549480).

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

226492800 is a wasteful number, since it uses less digits than its factorization.

226492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23620 (or 23603 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 226492800 is about 15049.6777374135. The cubic root of 226492800 is about 609.5623484437.

The spelling of 226492800 in words is "two hundred twenty-six million, four hundred ninety-two thousand, eight hundred".