226736720 has 80 divisors (see below), whose sum is σ = 614841600. Its totient is φ = 77728896.

The previous prime is 226736717. The next prime is 226736729. The reversal of 226736720 is 27637622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226736729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23309 + ... + 31571.

It is an arithmetic number, because the mean of its divisors is an integer number (7685520).

Almost surely, 2^226736720 is an apocalyptic number.

226736720 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 226736720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307420800).

226736720 is an abundant number, since it is smaller than the sum of its proper divisors (388104880).

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

226736720 is an equidigital number, since it uses as much as digits as its factorization.

226736720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 226736720 is about 15057.7793847566. The cubic root of 226736720 is about 609.7810913868.

The spelling of 226736720 in words is "two hundred twenty-six million, seven hundred thirty-six thousand, seven hundred twenty".