Search a number
-
+
2263317006 = 232931419599
BaseRepresentation
bin1000011011100111…
…0111101000001110
312211201211102020210
42012321313220032
514113402121011
61012330423250
7110041606566
oct20671675016
95751742223
102263317006
11a61646625
12531b91b26
132a0ba0342
1417683dda6
15d3a776a6
hex86e77a0e

2263317006 has 32 divisors (see below), whose sum is σ = 4833792000. Its totient is φ = 704924640.

The previous prime is 2263316987. The next prime is 2263317011. The reversal of 2263317006 is 6007133622.

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 15 ways as a sum of consecutive naturals, for example, 204406 + ... + 215193.

It is an arithmetic number, because the mean of its divisors is an integer number (151056000).

Almost surely, 22263317006 is an apocalyptic number.

2263317006 is an abundant number, since it is smaller than the sum of its proper divisors (2570474994).

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

2263317006 is a wasteful number, since it uses less digits than its factorization.

2263317006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419664.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 2263317006 is about 47574.3313773299. The cubic root of 2263317006 is about 1312.9508304146.

The spelling of 2263317006 in words is "two billion, two hundred sixty-three million, three hundred seventeen thousand, six".

Divisors: 1 2 3 6 29 31 58 62 87 93 174 186 899 1798 2697 5394 419599 839198 1258797 2517594 12168371 13007569 24336742 26015138 36505113 39022707 73010226 78045414 377219501 754439002 1131658503 2263317006