226512920160 has 288 divisors, whose sum is σ = 827003005920. Its totient is φ = 56285798400.

The previous prime is 226512920143. The next prime is 226512920167. The reversal of 226512920160 is 61029215622.

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 not an unprimeable number, because it can be changed into a prime (226512920167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1601100 + ... + 1736820.

It is an arithmetic number, because the mean of its divisors is an integer number (2871538215).

Almost surely, 2^226512920160 is an apocalyptic number.

226512920160 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 226512920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413501502960).

226512920160 is an abundant number, since it is smaller than the sum of its proper divisors (600490085760).

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

226512920160 is a wasteful number, since it uses less digits than its factorization.

226512920160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135822 (or 135811 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 226512920160 in words is "two hundred twenty-six billion, five hundred twelve million, nine hundred twenty thousand, one hundred sixty".