55233000 has 288 divisors, whose sum is σ = 208620360. Its totient is φ = 13132800.

The previous prime is 55232993. The next prime is 55233001. The reversal of 55233000 is 33255.

55233000 is digitally balanced in base 2, 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 24029604 + 31203396 = 4902^2 + 5586^2 .

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 (55233001) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2906991 + ... + 2907009.

Almost surely, 2^55233000 is an apocalyptic number.

55233000 is a gapful number since it is divisible by the number (50) 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 55233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104310180).

55233000 is an abundant number, since it is smaller than the sum of its proper divisors (153387360).

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

55233000 is a wasteful number, since it uses less digits than its factorization.

55233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 55233000 is about 7431.8907419310. The cubic root of 55233000 is about 380.8315124982.

Adding to 55233000 its reverse (33255), we get a palindrome (55266255).

The spelling of 55233000 in words is "fifty-five million, two hundred thirty-three thousand".