54232200 has 288 divisors, whose sum is σ = 207799200. Its totient is φ = 12988800.

The previous prime is 54232181. The next prime is 54232223. The reversal of 54232200 is 223245.

It is a super-2 number, since 2×54232200² = 5882263033680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 653359 + ... + 653441.

It is an arithmetic number, because the mean of its divisors is an integer number (721525).

Almost surely, 2^54232200 is an apocalyptic number.

54232200 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 54232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103899600).

54232200 is an abundant number, since it is smaller than the sum of its proper divisors (153567000).

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

54232200 is a wasteful number, since it uses less digits than its factorization.

54232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 54232200 is about 7364.2514894591. The cubic root of 54232200 is about 378.5173063383.

Adding to 54232200 its reverse (223245), we get a palindrome (54455445).

The spelling of 54232200 in words is "fifty-four million, two hundred thirty-two thousand, two hundred".