Search a number
-
+
705229056 = 2832773599
BaseRepresentation
bin101010000010001…
…111000100000000
31211011000100101200
4222002033010000
52421014312211
6153551301200
723322230250
oct5202170400
91734010350
10705229056
113320a1034
1217821a800
13b31504cc
1469939960
1541da6b56
hex2a08f100

705229056 has 216 divisors, whose sum is σ = 2359593600. Its totient is φ = 198402048.

The previous prime is 705229051. The next prime is 705229067. The reversal of 705229056 is 650922507.

It is a super-2 number, since 2×7052290562 = 994696042853302272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 705229056.

It is not an unprimeable number, because it can be changed into a prime (705229051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177045 + ... + 1177643.

Almost surely, 2705229056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179796800).

705229056 is an abundant number, since it is smaller than the sum of its proper divisors (1654364544).

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

705229056 is a wasteful number, since it uses less digits than its factorization.

705229056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 705229056 is about 26556.1491184245. The cubic root of 705229056 is about 890.1094239066.

The spelling of 705229056 in words is "seven hundred five million, two hundred twenty-nine thousand, fifty-six".