Search a number
-
+
209192490 = 233513107557
BaseRepresentation
bin11000111100000…
…00011000101010
3112120122002011000
430132000120222
5412023124430
632431415430
75120051433
oct1436003052
9476562130
10209192490
11a80a1461
125a084576
1334455450
141dad648a
1513572e60
hexc78062a

209192490 has 128 divisors (see below), whose sum is σ = 607461120. Its totient is φ = 50920704.

The previous prime is 209192479. The next prime is 209192491. The reversal of 209192490 is 94291902.

It is a super-2 number, since 2×2091924902 = 87522995744800200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (209192491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375292 + ... + 375848.

It is an arithmetic number, because the mean of its divisors is an integer number (4745790).

Almost surely, 2209192490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209192490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

209192490 is an abundant number, since it is smaller than the sum of its proper divisors (398268630).

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

209192490 is a wasteful number, since it uses less digits than its factorization.

209192490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 209192490 is about 14463.4881684883. The cubic root of 209192490 is about 593.6293473774.

It can be divided in two parts, 20919 and 2490, that added together give a square (23409 = 1532).

The spelling of 209192490 in words is "two hundred nine million, one hundred ninety-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 107 117 130 135 195 214 234 270 321 351 390 535 557 585 642 702 963 1070 1114 1170 1391 1605 1671 1755 1926 2782 2785 2889 3210 3342 3510 4173 4815 5013 5570 5778 6955 7241 8346 8355 9630 10026 12519 13910 14445 14482 15039 16710 20865 21723 25038 25065 28890 30078 36205 37557 41730 43446 50130 59599 62595 65169 72410 75114 75195 108615 119198 125190 130338 150390 178797 187785 195507 217230 297995 325845 357594 375570 391014 536391 595990 651690 774787 893985 977535 1072782 1549574 1609173 1787970 1955070 2324361 2681955 3218346 3873935 4648722 5363910 6973083 7747870 8045865 11621805 13946166 16091730 20919249 23243610 34865415 41838498 69730830 104596245 209192490