54221832 has 192 divisors, whose sum is σ = 180576000. Its totient is φ = 15023232.

The previous prime is 54221831. The next prime is 54221837. The reversal of 54221832 is 23812245.

It is a super-3 number, since 3×54221832³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54221796 and 54221805.

It is not an unprimeable number, because it can be changed into a prime (54221831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497394 + ... + 497502.

It is an arithmetic number, because the mean of its divisors is an integer number (940500).

Almost surely, 2^54221832 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 54221832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90288000).

54221832 is an abundant number, since it is smaller than the sum of its proper divisors (126354168).

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

54221832 is a wasteful number, since it uses less digits than its factorization.

54221832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 54221832 is about 7363.5475146155. The cubic root of 54221832 is about 378.4931834154.

The spelling of 54221832 in words is "fifty-four million, two hundred twenty-one thousand, eight hundred thirty-two".