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64112022 = 23213833301
BaseRepresentation
bin1111010010010…
…0010110010110
311110122020011100
43310210112112
5112403041042
610210050530
71405641342
oct364442626
9143566140
1064112022
113320a347
1219579a46
1310389810
14872c622
15596624c
hex3d24596

64112022 has 48 divisors (see below), whose sum is σ = 151442928. Its totient is φ = 19483200.

The previous prime is 64112021. The next prime is 64112071. The reversal of 64112022 is 22021146.

64112022 is a `hidden beast` number, since 641 + 1 + 2 + 0 + 22 = 666.

64112022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641120222 = 8220702729856968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64111986 and 64112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64112021) 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 23 ways as a sum of consecutive naturals, for example, 17772 + ... + 21072.

It is an arithmetic number, because the mean of its divisors is an integer number (3155061).

Almost surely, 264112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75721464).

64112022 is an abundant number, since it is smaller than the sum of its proper divisors (87330906).

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

64112022 is a wasteful number, since it uses less digits than its factorization.

64112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 64112022 is about 8006.9983139751. The cubic root of 64112022 is about 400.2332431343.

Adding to 64112022 its reverse (22021146), we get a palindrome (86133168).

The spelling of 64112022 in words is "sixty-four million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 83 117 166 234 249 498 747 1079 1494 2158 3237 3301 6474 6602 9711 9903 19422 19806 29709 42913 59418 85826 128739 257478 273983 386217 547966 772434 821949 1643898 2465847 3561779 4931694 7123558 10685337 21370674 32056011 64112022