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56222100 = 22345211631
BaseRepresentation
bin1101011001111…
…0000110010100
310220210101020000
43112132012110
5103343101400
65325011300
71251610554
oct326360624
9126711200
1056222100
1129810550
12169b3b30
13b85651c
147677164
154e08600
hex359e194

56222100 has 180 divisors, whose sum is σ = 199133088. Its totient is φ = 13608000.

The previous prime is 56222099. The next prime is 56222107. The reversal of 56222100 is 122265.

56222100 is a `hidden beast` number, since 562 + 2 + 2 + 100 = 666.

56222100 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 (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56222107) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 88785 + ... + 89415.

Almost surely, 256222100 is an apocalyptic number.

56222100 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 56222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99566544).

56222100 is an abundant number, since it is smaller than the sum of its proper divisors (142910988).

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

56222100 is a wasteful number, since it uses less digits than its factorization.

56222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 56222100 is about 7498.1397693028. The cubic root of 56222100 is about 383.0913574739.

Adding to 56222100 its reverse (122265), we get a palindrome (56344365).

The spelling of 56222100 in words is "fifty-six million, two hundred twenty-two thousand, one hundred".