238312272200 has 36 divisors (see below), whose sum is σ = 554092084665. Its totient is φ = 95322147360.

The previous prime is 238312272199. The next prime is 238312272203. The reversal of 238312272200 is 2272213832.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

238312272200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 233546026756 + 4766245444 = 483266^2 + 69038^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=345190.

It is a super-2 number, since 2×238312272200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (238312272203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6886541 + ... + 6921059.

Almost surely, 2^238312272200 is an apocalyptic number.

238312272200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238312272200 is an abundant number, since it is smaller than the sum of its proper divisors (315779812465).

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

238312272200 is an frugal number, since it uses more digits than its factorization.

238312272200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69054 (or 34526 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Multiplying 238312272200 by its sum of digits (32), we get a square (7625992710400 = 2761520²).

The spelling of 238312272200 in words is "two hundred thirty-eight billion, three hundred twelve million, two hundred seventy-two thousand, two hundred".