226728720 has 240 divisors, whose sum is σ = 804323520. Its totient is φ = 59346432.

The previous prime is 226728709. The next prime is 226728727. The reversal of 226728720 is 27827622.

It is a tau number, because it is divible by the number of its divisors (240).

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 (226728727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2080026 + ... + 2080134.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^226728720 is an apocalyptic number.

226728720 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 226728720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

226728720 is an abundant number, since it is smaller than the sum of its proper divisors (577594800).

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

226728720 is a wasteful number, since it uses less digits than its factorization.

226728720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 226728720 is about 15057.5137389942. The cubic root of 226728720 is about 609.7739196237.

The spelling of 226728720 in words is "two hundred twenty-six million, seven hundred twenty-eight thousand, seven hundred twenty".