Search a number
-
+
209131704 = 233231432179
BaseRepresentation
bin11000111011100…
…01100010111000
3112120111222202200
430131301202320
5412014203304
632430230200
75116406265
oct1435614270
9476458680
10209131704
11a805a821
125a055360
1334433892
141dabc26c
151355ee39
hexc7718b8

209131704 has 96 divisors (see below), whose sum is σ = 598540800. Its totient is φ = 65862720.

The previous prime is 209131691. The next prime is 209131757. The reversal of 209131704 is 407131902.

209131704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94887 + ... + 97065.

It is an arithmetic number, because the mean of its divisors is an integer number (6234800).

Almost surely, 2209131704 is an apocalyptic number.

209131704 is a gapful number since it is divisible by the number (24) 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 209131704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299270400).

209131704 is an abundant number, since it is smaller than the sum of its proper divisors (389409096).

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

209131704 is a wasteful number, since it uses less digits than its factorization.

209131704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 209131704 is about 14461.3866555044. The cubic root of 209131704 is about 593.5718439601.

The spelling of 209131704 in words is "two hundred nine million, one hundred thirty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 43 62 72 86 93 124 129 172 186 248 258 279 344 372 387 516 558 744 774 1032 1116 1333 1548 2179 2232 2666 3096 3999 4358 5332 6537 7998 8716 10664 11997 13074 15996 17432 19611 23994 26148 31992 39222 47988 52296 67549 78444 93697 95976 135098 156888 187394 202647 270196 281091 374788 405294 540392 562182 607941 749576 810588 843273 1124364 1215882 1621176 1686546 2248728 2431764 2904607 3373092 4863528 5809214 6746184 8713821 11618428 17427642 23236856 26141463 34855284 52282926 69710568 104565852 209131704