190000234800 has 360 divisors, whose sum is σ = 708574376016. Its totient is φ = 46973583360.

The previous prime is 190000234759. The next prime is 190000234813. The reversal of 190000234800 is 8432000091.

190000234800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×190000234800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4077232 + ... + 4123568.

Almost surely, 2^190000234800 is an apocalyptic number.

190000234800 is a gapful number since it is divisible by the number (10) 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 190000234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354287188008).

190000234800 is an abundant number, since it is smaller than the sum of its proper divisors (518574141216).

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

190000234800 is a wasteful number, since it uses less digits than its factorization.

190000234800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46445 (or 46431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 190000234800 its reverse (8432000091), we get a palindrome (198432234891).

The spelling of 190000234800 in words is "one hundred ninety billion, two hundred thirty-four thousand, eight hundred".