226113120 has 240 divisors, whose sum is σ = 812306880. Its totient is φ = 59222016.

The previous prime is 226113109. The next prime is 226113143. The reversal of 226113120 is 21311622.

226113120 is a `hidden beast` number, since 2 + 2 + 611 + 31 + 20 = 666.

226113120 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 (240).

It is a super-2 number, since 2×226113120² = 102254286072268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 226113093 and 226113102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 945961 + ... + 946199.

It is an arithmetic number, because the mean of its divisors is an integer number (3384612).

Almost surely, 2^226113120 is an apocalyptic number.

226113120 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 226113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406153440).

226113120 is an abundant number, since it is smaller than the sum of its proper divisors (586193760).

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

226113120 is a wasteful number, since it uses less digits than its factorization.

226113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 226113120 is about 15037.0582229371. The cubic root of 226113120 is about 609.2215457387.

Adding to 226113120 its reverse (21311622), we get a palindrome (247424742).

The spelling of 226113120 in words is "two hundred twenty-six million, one hundred thirteen thousand, one hundred twenty".