226726325100 has 288 divisors, whose sum is σ = 803028602880. Its totient is φ = 54419040000.

The previous prime is 226726325087. The next prime is 226726325141. The reversal of 226726325100 is 1523627622.

226726325100 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 2 + 632 + 5 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2961909 + ... + 3037491.

It is an arithmetic number, because the mean of its divisors is an integer number (2788293760).

Almost surely, 2^226726325100 is an apocalyptic number.

226726325100 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 226726325100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401514301440).

226726325100 is an abundant number, since it is smaller than the sum of its proper divisors (576302277780).

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

226726325100 is a wasteful number, since it uses less digits than its factorization.

226726325100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75718 (or 75705 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 226726325100 in words is "two hundred twenty-six billion, seven hundred twenty-six million, three hundred twenty-five thousand, one hundred".