226234270080 has 2880 divisors, whose sum is σ = 1112308433280. Its totient is φ = 43475927040.

The previous prime is 226234270057. The next prime is 226234270081. The reversal of 226234270080 is 80072432622.

It is a happy number.

226234270080 is a `hidden beast` number, since 2 + 2 + 623 + 4 + 27 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226234270081) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7297879665 + ... + 7297879695.

It is an arithmetic number, because the mean of its divisors is an integer number (386218206).

Almost surely, 2^226234270080 is an apocalyptic number.

226234270080 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 226234270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556154216640).

226234270080 is an abundant number, since it is smaller than the sum of its proper divisors (886074163200).

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

226234270080 is a wasteful number, since it uses less digits than its factorization.

226234270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 226234270080 in words is "two hundred twenty-six billion, two hundred thirty-four million, two hundred seventy thousand, eighty".