226737770400 has 576 divisors, whose sum is σ = 831546777600. Its totient is φ = 59622312960.

The previous prime is 226737770387. The next prime is 226737770401. The reversal of 226737770400 is 4077737622.

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

It is not an unprimeable number, because it can be changed into a prime (226737770401) 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, 862120669 + ... + 862120931.

It is an arithmetic number, because the mean of its divisors is an integer number (1443657600).

Almost surely, 2^226737770400 is an apocalyptic number.

226737770400 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 226737770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415773388800).

226737770400 is an abundant number, since it is smaller than the sum of its proper divisors (604809007200).

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

226737770400 is a wasteful number, since it uses less digits than its factorization.

226737770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 226737770400 in words is "two hundred twenty-six billion, seven hundred thirty-seven million, seven hundred seventy thousand, four hundred".