226736820 has 120 divisors (see below), whose sum is σ = 753213384. Its totient is φ = 56899584.

The previous prime is 226736801. The next prime is 226736833. The reversal of 226736820 is 28637622.

It can be written as a sum of positive squares in 4 ways, for example, as 20412324 + 206324496 = 4518^2 + 14364^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23424 + ... + 31656.

Almost surely, 2^226736820 is an apocalyptic number.

226736820 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 226736820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376606692).

226736820 is an abundant number, since it is smaller than the sum of its proper divisors (526476564).

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

226736820 is a wasteful number, since it uses less digits than its factorization.

226736820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 226736820 is about 15057.7827052989. The cubic root of 226736820 is about 609.7811810328.

The spelling of 226736820 in words is "two hundred twenty-six million, seven hundred thirty-six thousand, eight hundred twenty".