226712072160 has 288 divisors, whose sum is σ = 884909817792. Its totient is φ = 51776962560.

The previous prime is 226712072113. The next prime is 226712072179. The reversal of 226712072160 is 61270217622.

It is a happy number.

226712072160 is a `hidden beast` number, since 226 + 71 + 207 + 2 + 160 = 666.

226712072160 is digitally balanced in base 3, 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13065090 + ... + 13082430.

It is an arithmetic number, because the mean of its divisors is an integer number (3072603534).

Almost surely, 2^226712072160 is an apocalyptic number.

226712072160 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 226712072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442454908896).

226712072160 is an abundant number, since it is smaller than the sum of its proper divisors (658197745632).

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

226712072160 is a wasteful number, since it uses less digits than its factorization.

226712072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18666 (or 18655 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 226712072160 its reverse (61270217622), we get a palindrome (287982289782).

The spelling of 226712072160 in words is "two hundred twenty-six billion, seven hundred twelve million, seventy-two thousand, one hundred sixty".