228073190400 has 1386 divisors, whose sum is σ = 940917424566. Its totient is φ = 54743040000.

The previous prime is 228073190399. The next prime is 228073190437. The reversal of 228073190400 is 4091370822.

228073190400 is a `hidden beast` number, since 22 + 80 + 73 + 1 + 90 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 61060386816 + 167012803584 = 247104^2 + 408672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 2258150350 + ... + 2258150450.

Almost surely, 2^228073190400 is an apocalyptic number.

228073190400 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 228073190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470458712283).

228073190400 is an abundant number, since it is smaller than the sum of its proper divisors (712844234166).

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

228073190400 is a wasteful number, since it uses less digits than its factorization.

228073190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 228073190400 in words is "two hundred twenty-eight billion, seventy-three million, one hundred ninety thousand, four hundred".