226826820 has 144 divisors (see below), whose sum is σ = 758197440. Its totient is φ = 54432000.

The previous prime is 226826797. The next prime is 226826827. The reversal of 226826820 is 28628622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226826827) 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 47 ways as a sum of consecutive naturals, for example, 215295 + ... + 216345.

It is an arithmetic number, because the mean of its divisors is an integer number (5265260).

Almost surely, 2^226826820 is an apocalyptic number.

226826820 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 226826820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379098720).

226826820 is an abundant number, since it is smaller than the sum of its proper divisors (531370620).

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

226826820 is a wasteful number, since it uses less digits than its factorization.

226826820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 226826820 is about 15060.7708966042. The cubic root of 226826820 is about 609.8618517219.

The spelling of 226826820 in words is "two hundred twenty-six million, eight hundred twenty-six thousand, eight hundred twenty".