226241760 has 96 divisors (see below), whose sum is σ = 737281440. Its totient is φ = 58247168.

The previous prime is 226241699. The next prime is 226241767. The reversal of 226241760 is 67142622.

226241760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226241767) 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, 5794 + ... + 22046.

It is an arithmetic number, because the mean of its divisors is an integer number (7680015).

Almost surely, 2^226241760 is an apocalyptic number.

226241760 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 226241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368640720).

226241760 is an abundant number, since it is smaller than the sum of its proper divisors (511039680).

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

226241760 is a wasteful number, since it uses less digits than its factorization.

226241760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16300 (or 16292 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 226241760 is about 15041.3350471293. The cubic root of 226241760 is about 609.3370563620.

The spelling of 226241760 in words is "two hundred twenty-six million, two hundred forty-one thousand, seven hundred sixty".