Search a number
-
+
262868220 = 223353141383
BaseRepresentation
bin11111010101100…
…00110011111100
3200022122002102000
433222300303330
51014243240340
642030102300
76341225436
oct1752606374
9608562360
10262868220
1112542286a
127404a990
13425c9934
1426ca9656
1518126d30
hexfab0cfc

262868220 has 192 divisors, whose sum is σ = 867041280. Its totient is φ = 66009600.

The previous prime is 262868201. The next prime is 262868293. The reversal of 262868220 is 22868262.

262868220 is a `hidden beast` number, since 2 + 628 + 6 + 8 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 686149 + ... + 686531.

It is an arithmetic number, because the mean of its divisors is an integer number (4515840).

Almost surely, 2262868220 is an apocalyptic number.

262868220 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 262868220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433520640).

262868220 is an abundant number, since it is smaller than the sum of its proper divisors (604173060).

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

262868220 is a wasteful number, since it uses less digits than its factorization.

262868220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 262868220 is about 16213.2112796941. The cubic root of 262868220 is about 640.5888298278.

The spelling of 262868220 in words is "two hundred sixty-two million, eight hundred sixty-eight thousand, two hundred twenty".