226044000 has 768 divisors, whose sum is σ = 1056706560. Its totient is φ = 45619200.

The previous prime is 226043963. The next prime is 226044061. The reversal of 226044000 is 440622.

226044000 is a `hidden beast` number, since 2 + 260 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9827989 + ... + 9828011.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^226044000 is an apocalyptic number.

226044000 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 226044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

226044000 is an abundant number, since it is smaller than the sum of its proper divisors (830662560).

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

226044000 is a wasteful number, since it uses less digits than its factorization.

226044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 226044000 is about 15034.7597253830. The cubic root of 226044000 is about 609.1594622342.

Adding to 226044000 its reverse (440622), we get a palindrome (226484622).

The spelling of 226044000 in words is "two hundred twenty-six million, forty-four thousand".