226281120 has 96 divisors (see below), whose sum is σ = 767636352. Its totient is φ = 55698432.

The previous prime is 226281073. The next prime is 226281161. The reversal of 226281120 is 21182622.

226281120 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11892 + ... + 24371.

It is an arithmetic number, because the mean of its divisors is an integer number (7996212).

Almost surely, 2^226281120 is an apocalyptic number.

226281120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226281120 is an abundant number, since it is smaller than the sum of its proper divisors (541355232).

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

226281120 is a wasteful number, since it uses less digits than its factorization.

226281120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36294 (or 36286 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 226281120 is about 15042.6433847246. The cubic root of 226281120 is about 609.3723904162.

The spelling of 226281120 in words is "two hundred twenty-six million, two hundred eighty-one thousand, one hundred twenty".