233142201000 has 96 divisors (see below), whose sum is σ = 788020669800. Its totient is φ = 62171251200.

The previous prime is 233142200999. The next prime is 233142201007. The reversal of 233142201000 is 102241332.

233142201000 is a `hidden beast` number, since 233 + 1 + 422 + 0 + 10 + 0 + 0 = 666.

233142201000 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 4 ways, for example, as 77904624996 + 155237576004 = 279114^2 + 394002^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (233142201007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12943345 + ... + 12961344.

Almost surely, 2^233142201000 is an apocalyptic number.

233142201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233142201000 is an abundant number, since it is smaller than the sum of its proper divisors (554878468800).

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

233142201000 is a wasteful number, since it uses less digits than its factorization.

233142201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25904716 (or 25904699 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 233142201000 its reverse (102241332), we get a palindrome (233244442332).

The spelling of 233142201000 in words is "two hundred thirty-three billion, one hundred forty-two million, two hundred one thousand".