226733760 has 336 divisors, whose sum is σ = 902951712. Its totient is φ = 51609600.

The previous prime is 226733737. The next prime is 226733761. The reversal of 226733760 is 67337622.

226733760 is a `hidden beast` number, since 2 + 267 + 337 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226733761) 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 47 ways as a sum of consecutive naturals, for example, 538350 + ... + 538770.

Almost surely, 2^226733760 is an apocalyptic number.

226733760 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 226733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451475856).

226733760 is an abundant number, since it is smaller than the sum of its proper divisors (676217952).

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

226733760 is a wasteful number, since it uses less digits than its factorization.

226733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 226733760 is about 15057.6810963707. The cubic root of 226733760 is about 609.7784378541.

It can be divided in two parts, 2 and 26733760, that added together give a palindrome (26733762).

The spelling of 226733760 in words is "two hundred twenty-six million, seven hundred thirty-three thousand, seven hundred sixty".