56226100 has 72 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 18856320.

The previous prime is 56226097. The next prime is 56226101. The reversal of 56226100 is 162265.

It is a super-2 number, since 2×56226100² = 6322748642420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56226101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32046 + ... + 33754.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2^56226100 is an apocalyptic number.

56226100 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 56226100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

56226100 is an abundant number, since it is smaller than the sum of its proper divisors (86264780).

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

56226100 is a wasteful number, since it uses less digits than its factorization.

56226100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 56226100 is about 7498.4064973833. The cubic root of 56226100 is about 383.1004424487.

Adding to 56226100 its reverse (162265), we get a palindrome (56388365).

It can be divided in two parts, 562 and 26100, that added together give a palindrome (26662).

The spelling of 56226100 in words is "fifty-six million, two hundred twenty-six thousand, one hundred".