226013760 has 448 divisors, whose sum is σ = 945123840. Its totient is φ = 49766400.

The previous prime is 226013743. The next prime is 226013773. The reversal of 226013760 is 67310622.

It is a happy number.

226013760 is a `hidden beast` number, since 22 + 601 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237710 + ... + 2237810.

Almost surely, 2^226013760 is an apocalyptic number.

226013760 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 226013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472561920).

226013760 is an abundant number, since it is smaller than the sum of its proper divisors (719110080).

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

226013760 is a wasteful number, since it uses less digits than its factorization.

226013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 226013760 is about 15033.7540221995. The cubic root of 226013760 is about 609.1322967212.

The spelling of 226013760 in words is "two hundred twenty-six million, thirteen thousand, seven hundred sixty".