233142000 has 480 divisors, whose sum is σ = 957063744. Its totient is φ = 48384000.

The previous prime is 233141983. The next prime is 233142011. The reversal of 233142000 is 241332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3821970 + ... + 3822030.

Almost surely, 2^233142000 is an apocalyptic number.

233142000 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 233142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478531872).

233142000 is an abundant number, since it is smaller than the sum of its proper divisors (723921744).

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

233142000 is a wasteful number, since it uses less digits than its factorization.

233142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 233142000 is about 15268.9881786581. The cubic root of 233142000 is about 615.4699296783.

Adding to 233142000 its reverse (241332), we get a palindrome (233383332).

The spelling of 233142000 in words is "two hundred thirty-three million, one hundred forty-two thousand".