Search a number
-
+
222368640 = 27351359151
BaseRepresentation
bin11010100000100…
…01001110000000
3120111102111102120
431100101032000
5423411244030
634022044240
75340050034
oct1520211600
9514374376
10222368640
1110458093a
1262579680
13370b98a0
14217661c4
15147c7010
hexd411380

222368640 has 256 divisors, whose sum is σ = 781401600. Its totient is φ = 53452800.

The previous prime is 222368621. The next prime is 222368693. The reversal of 222368640 is 46863222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1472565 + ... + 1472715.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2222368640 is an apocalyptic number.

222368640 is a gapful number since it is divisible by the number (20) 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 222368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390700800).

222368640 is an abundant number, since it is smaller than the sum of its proper divisors (559032960).

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

222368640 is a wasteful number, since it uses less digits than its factorization.

222368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 222368640 is about 14912.0300428882. The cubic root of 222368640 is about 605.8398644508.

It can be divided in two parts, 22236 and 8640, that added together give a triangular number (30876 = T248).

The spelling of 222368640 in words is "two hundred twenty-two million, three hundred sixty-eight thousand, six hundred forty".