226919196000 has 2304 divisors, whose sum is σ = 1059725721600. Its totient is φ = 45700300800.

The previous prime is 226919195981. The next prime is 226919196019. The reversal of 226919196000 is 691919622.

226919196000 is a `hidden beast` number, since 2 + 26 + 9 + 1 + 9 + 19 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226919195981) and next prime (226919196019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4828067977 + ... + 4828068023.

It is an arithmetic number, because the mean of its divisors is an integer number (459950400).

Almost surely, 2^226919196000 is an apocalyptic number.

226919196000 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 226919196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529862860800).

226919196000 is an abundant number, since it is smaller than the sum of its proper divisors (832806525600).

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

226919196000 is a wasteful number, since it uses less digits than its factorization.

226919196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 226919196000 in words is "two hundred twenty-six billion, nine hundred nineteen million, one hundred ninety-six thousand".