228354822400 has 108 divisors (see below), whose sum is σ = 566064385012. Its totient is φ = 91204485120.

The previous prime is 228354822343. The next prime is 228354822401. The reversal of 228354822400 is 4228453822.

It can be written as a sum of positive squares in 6 ways, for example, as 772395264 + 227582427136 = 27792^2 + 477056^2 .

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

It is not an unprimeable number, because it can be changed into a prime (228354822401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4280692 + ... + 4333708.

Almost surely, 2^228354822400 is an apocalyptic number.

228354822400 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 228354822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283032192506).

228354822400 is an abundant number, since it is smaller than the sum of its proper divisors (337709562612).

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

228354822400 is an equidigital number, since it uses as much as digits as its factorization.

228354822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53716 (or 53697 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 228354822400 in words is "two hundred twenty-eight billion, three hundred fifty-four million, eight hundred twenty-two thousand, four hundred".