1033226800 has 60 divisors (see below), whose sum is σ = 2504404440. Its totient is φ = 409615360.

The previous prime is 1033226767. The next prime is 1033226809. The reversal of 1033226800 is 86223301.

1033226800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1033226809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33771 + ... + 56629.

It is an arithmetic number, because the mean of its divisors is an integer number (41740074).

Almost surely, 2^1033226800 is an apocalyptic number.

1033226800 is a gapful number since it is divisible by the number (10) 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 1033226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252202220).

1033226800 is an abundant number, since it is smaller than the sum of its proper divisors (1471177640).

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

1033226800 is a wasteful number, since it uses less digits than its factorization.

1033226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22990 (or 22979 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1033226800 is about 32143.8454451237. The cubic root of 1033226800 is about 1010.9551465036.

The spelling of 1033226800 in words is "one billion, thirty-three million, two hundred twenty-six thousand, eight hundred".