226423296000 has 832 divisors, whose sum is σ = 913879699200. Its totient is φ = 54853632000.

The previous prime is 226423295957. The next prime is 226423296007. The reversal of 226423296000 is 692324622.

226423296000 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 23 + 29 + 600 + 0 = 666.

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 (226423296007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152063256 + ... + 152064744.

It is an arithmetic number, because the mean of its divisors is an integer number (1098413100).

Almost surely, 2^226423296000 is an apocalyptic number.

226423296000 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 226423296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456939849600).

226423296000 is an abundant number, since it is smaller than the sum of its proper divisors (687456403200).

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

226423296000 is a wasteful number, since it uses less digits than its factorization.

226423296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 226423296000 in words is "two hundred twenty-six billion, four hundred twenty-three million, two hundred ninety-six thousand".