228126067200 has 720 divisors, whose sum is σ = 859392870336. Its totient is φ = 59918745600.

The previous prime is 228126067193. The next prime is 228126067231. The reversal of 228126067200 is 2760621822.

228126067200 is a `hidden beast` number, since 2 + 28 + 1 + 2 + 606 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×228126067200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220837884 + ... + 220838916.

Almost surely, 2^228126067200 is an apocalyptic number.

228126067200 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 228126067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429696435168).

228126067200 is an abundant number, since it is smaller than the sum of its proper divisors (631266803136).

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

228126067200 is an equidigital number, since it uses as much as digits as its factorization.

228126067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1114 counting only the distinct ones).

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

The spelling of 228126067200 in words is "two hundred twenty-eight billion, one hundred twenty-six million, sixty-seven thousand, two hundred".