226224385920 has 512 divisors, whose sum is σ = 879169334400. Its totient is φ = 54632448000.

The previous prime is 226224385903. The next prime is 226224385927. The reversal of 226224385920 is 29583422622.

226224385920 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 24 + 38 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226224385927) 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, 11896420 + ... + 11915420.

Almost surely, 2^226224385920 is an apocalyptic number.

226224385920 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 226224385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439584667200).

226224385920 is an abundant number, since it is smaller than the sum of its proper divisors (652944948480).

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

226224385920 is a wasteful number, since it uses less digits than its factorization.

226224385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19095 (or 19077 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 226224385920 in words is "two hundred twenty-six billion, two hundred twenty-four million, three hundred eighty-five thousand, nine hundred twenty".