Search a number
-
+
222202656 = 25331373271
BaseRepresentation
bin11010011111010…
…00101100100000
3120111010001202000
431033220230200
5423340441111
634014324000
75335456104
oct1517505440
9514101660
10222202656
11104478165
12624b9600
133705c180
1421721904
1514792c56
hexd3e8b20

222202656 has 192 divisors, whose sum is σ = 710115840. Its totient is φ = 67184640.

The previous prime is 222202627. The next prime is 222202681. The reversal of 222202656 is 656202222.

222202656 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 0 + 2 + 656 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 819801 + ... + 820071.

It is an arithmetic number, because the mean of its divisors is an integer number (3698520).

Almost surely, 2222202656 is an apocalyptic number.

222202656 is a gapful number since it is divisible by the number (26) 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 222202656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355057920).

222202656 is an abundant number, since it is smaller than the sum of its proper divisors (487913184).

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

222202656 is a wasteful number, since it uses less digits than its factorization.

222202656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 222202656 is about 14906.4635645078. The cubic root of 222202656 is about 605.6890866629.

Adding to 222202656 its reverse (656202222), we get a palindrome (878404878).

The spelling of 222202656 in words is "two hundred twenty-two million, two hundred two thousand, six hundred fifty-six".