226802533100 has 576 divisors, whose sum is σ = 627649827840. Its totient is φ = 70532352000.

The previous prime is 226802533091. The next prime is 226802533183. The reversal of 226802533100 is 1335208622.

226802533100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226802533100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1631672831 + ... + 1631672969.

It is an arithmetic number, because the mean of its divisors is an integer number (1089669840).

Almost surely, 2^226802533100 is an apocalyptic number.

226802533100 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 226802533100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313824913920).

226802533100 is an abundant number, since it is smaller than the sum of its proper divisors (400847294740).

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

226802533100 is a wasteful number, since it uses less digits than its factorization.

226802533100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 226802533100 in words is "two hundred twenty-six billion, eight hundred two million, five hundred thirty-three thousand, one hundred".