226417207800 has 384 divisors, whose sum is σ = 823887267840. Its totient is φ = 50363596800.

The previous prime is 226417207799. The next prime is 226417207801. The reversal of 226417207800 is 8702714622.

It is an interprime number because it is at equal distance from previous prime (226417207799) and next prime (226417207801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226417207801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35726232 + ... + 35732568.

It is an arithmetic number, because the mean of its divisors is an integer number (2145539760).

Almost surely, 2^226417207800 is an apocalyptic number.

226417207800 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 226417207800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411943633920).

226417207800 is an abundant number, since it is smaller than the sum of its proper divisors (597470060040).

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

226417207800 is a wasteful number, since it uses less digits than its factorization.

226417207800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 226417207800 in words is "two hundred twenty-six billion, four hundred seventeen million, two hundred seven thousand, eight hundred".