55132224 has 224 divisors, whose sum is σ = 187269120. Its totient is φ = 13934592.

The previous prime is 55132213. The next prime is 55132237. The reversal of 55132224 is 42223155.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 55132194 and 55132203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434049 + ... + 434175.

Almost surely, 2^55132224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93634560).

55132224 is an abundant number, since it is smaller than the sum of its proper divisors (132136896).

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

55132224 is a wasteful number, since it uses less digits than its factorization.

55132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 55132224 is about 7425.1076759869. The cubic root of 55132224 is about 380.5997546626.

Adding to 55132224 its reverse (42223155), we get a palindrome (97355379).

The spelling of 55132224 in words is "fifty-five million, one hundred thirty-two thousand, two hundred twenty-four".