233442000 has 400 divisors, whose sum is σ = 926887104. Its totient is φ = 56160000.

The previous prime is 233441993. The next prime is 233442017. The reversal of 233442000 is 244332.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1781935 + ... + 1782065.

Almost surely, 2^233442000 is an apocalyptic number.

233442000 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 233442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463443552).

233442000 is an abundant number, since it is smaller than the sum of its proper divisors (693445104).

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

233442000 is a wasteful number, since it uses less digits than its factorization.

233442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 233442000 is about 15278.8088540959. The cubic root of 233442000 is about 615.7338058262.

Adding to 233442000 its reverse (244332), we get a palindrome (233686332).

The spelling of 233442000 in words is "two hundred thirty-three million, four hundred forty-two thousand".