Search a number
-
+
209130912 = 2532726149
BaseRepresentation
bin11000111011100…
…01010110100000
3112120111221200100
430131301112200
5412014142122
632430222400
75116404054
oct1435612640
9476457610
10209130912
11a805a171
125a054a00
1334433403
141dabbc64
151355eaac
hexc7715a0

209130912 has 36 divisors (see below), whose sum is σ = 594716850. Its totient is φ = 69710208.

The previous prime is 209130907. The next prime is 209130917. The reversal of 209130912 is 219031902.

It is an interprime number because it is at equal distance from previous prime (209130907) and next prime (209130917).

It can be written as a sum of positive squares in only one way, i.e., 150700176 + 58430736 = 12276^2 + 7644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (209130917) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 362787 + ... + 363362.

Almost surely, 2209130912 is an apocalyptic number.

It is an amenable number.

209130912 is an abundant number, since it is smaller than the sum of its proper divisors (385585938).

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

209130912 is a wasteful number, since it uses less digits than its factorization.

209130912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726165 (or 726154 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 209130912 is about 14461.3592722123. The cubic root of 209130912 is about 593.5710946564.

The spelling of 209130912 in words is "two hundred nine million, one hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 726149 1452298 2178447 2904596 4356894 5809192 6535341 8713788 11618384 13070682 17427576 23236768 26141364 34855152 52282728 69710304 104565456 209130912