58226000 has 80 divisors (see below), whose sum is σ = 160942080. Its totient is φ = 19958400.

The previous prime is 58225991. The next prime is 58226011. The reversal of 58226000 is 62285.

It is a happy number.

58226000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11921 + ... + 16079.

It is an arithmetic number, because the mean of its divisors is an integer number (2011776).

Almost surely, 2^58226000 is an apocalyptic number.

58226000 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 58226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80471040).

58226000 is an abundant number, since it is smaller than the sum of its proper divisors (102716080).

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

58226000 is a wasteful number, since it uses less digits than its factorization.

58226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 58226000 is about 7630.5963069737. The cubic root of 58226000 is about 387.5897814858.

Adding to 58226000 its reverse (62285), we get a palindrome (58288285).

The spelling of 58226000 in words is "fifty-eight million, two hundred twenty-six thousand".