228131467200 has 672 divisors, whose sum is σ = 1023554488320. Its totient is φ = 48132403200.

The previous prime is 228131467181. The next prime is 228131467219. The reversal of 228131467200 is 2764131822.

It is a happy number.

228131467200 is a `hidden beast` number, since 2 + 2 + 81 + 314 + 67 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (228131467181) and next prime (228131467219).

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 3902185 + ... + 3960215.

It is an arithmetic number, because the mean of its divisors is an integer number (1523146560).

Almost surely, 2^228131467200 is an apocalyptic number.

228131467200 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 228131467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511777244160).

228131467200 is an abundant number, since it is smaller than the sum of its proper divisors (795423021120).

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

228131467200 is a wasteful number, since it uses less digits than its factorization.

228131467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58082 (or 58061 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 228131467200 in words is "two hundred twenty-eight billion, one hundred thirty-one million, four hundred sixty-seven thousand, two hundred".