226762368 has 128 divisors (see below), whose sum is σ = 712368000. Its totient is φ = 62533632.

The previous prime is 226762363. The next prime is 226762379. The reversal of 226762368 is 863267622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (226762363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76498 + ... + 79406.

It is an arithmetic number, because the mean of its divisors is an integer number (5565375).

Almost surely, 2^226762368 is an apocalyptic number.

226762368 is a gapful number since it is divisible by the number (28) 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 226762368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356184000).

226762368 is an abundant number, since it is smaller than the sum of its proper divisors (485605632).

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

226762368 is a wasteful number, since it uses less digits than its factorization.

226762368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2950 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 226762368 is about 15058.6310134753. The cubic root of 226762368 is about 609.8040829219.

The spelling of 226762368 in words is "two hundred twenty-six million, seven hundred sixty-two thousand, three hundred sixty-eight".