226928000 has 128 divisors (see below), whose sum is σ = 608156640. Its totient is φ = 83712000.

The previous prime is 226927997. The next prime is 226928003. The reversal of 226928000 is 829622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226927997) and next prime (226928003).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226928003) 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 15 ways as a sum of consecutive naturals, for example, 207455 + ... + 208545.

Almost surely, 2^226928000 is an apocalyptic number.

226928000 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 226928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304078320).

226928000 is an abundant number, since it is smaller than the sum of its proper divisors (381228640).

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

226928000 is a wasteful number, since it uses less digits than its factorization.

226928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 226928000 is about 15064.1295798994. The cubic root of 226928000 is about 609.9525180277.

The spelling of 226928000 in words is "two hundred twenty-six million, nine hundred twenty-eight thousand".