55333300 has 108 divisors (see below), whose sum is σ = 140264460. Its totient is φ = 18867200.

The previous prime is 55333297. The next prime is 55333307. The reversal of 55333300 is 333355.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3579664 + 51753636 = 1892^2 + 7194^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55333307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205566 + ... + 205834.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 2^55333300 is an apocalyptic number.

55333300 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 55333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70132230).

55333300 is an abundant number, since it is smaller than the sum of its proper divisors (84931160).

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

55333300 is a wasteful number, since it uses less digits than its factorization.

55333300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 22.

The square root of 55333300 is about 7438.6356275866. The cubic root of 55333300 is about 381.0618959197.

Adding to 55333300 its reverse (333355), we get a palindrome (55666655).

Subtracting from 55333300 its reverse (333355), we obtain a palindrome (54999945).

The spelling of 55333300 in words is "fifty-five million, three hundred thirty-three thousand, three hundred".