227462216800 has 1152 divisors, whose sum is σ = 773338503168. Its totient is φ = 63258624000.

The previous prime is 227462216743. The next prime is 227462216833. The reversal of 227462216800 is 8612264722.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1736352735 + ... + 1736352865.

It is an arithmetic number, because the mean of its divisors is an integer number (671300784).

Almost surely, 2^227462216800 is an apocalyptic number.

227462216800 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 227462216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386669251584).

227462216800 is an abundant number, since it is smaller than the sum of its proper divisors (545876286368).

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

227462216800 is a wasteful number, since it uses less digits than its factorization.

227462216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 227462216800 in words is "two hundred twenty-seven billion, four hundred sixty-two million, two hundred sixteen thousand, eight hundred".