226365120 has 168 divisors, whose sum is σ = 793827216. Its totient is φ = 59185152.

The previous prime is 226365119. The next prime is 226365127. The reversal of 226365120 is 21563622.

226365120 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 651 + 2 + 0 = 666.

226365120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226365120² = 102482335105228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226365127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151899 + ... + 153381.

It is an arithmetic number, because the mean of its divisors is an integer number (4725162).

Almost surely, 2^226365120 is an apocalyptic number.

226365120 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 226365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396913608).

226365120 is an abundant number, since it is smaller than the sum of its proper divisors (567462096).

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

226365120 is a wasteful number, since it uses less digits than its factorization.

226365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 226365120 is about 15045.4351881227. The cubic root of 226365120 is about 609.4477847578.

The spelling of 226365120 in words is "two hundred twenty-six million, three hundred sixty-five thousand, one hundred twenty".