Search a number
-
+
209957344 = 2517273311
BaseRepresentation
bin11001000001110…
…11000111100000
3112122001221022221
430200323013200
5412222113334
632500040424
75126415352
oct1440730740
9478057287
10209957344
11a8574073
125a393114
133466261c
141dc550d2
15136748b4
hexc83b1e0

209957344 has 72 divisors (see below), whose sum is σ = 446545008. Its totient is φ = 97136640.

The previous prime is 209957329. The next prime is 209957359. The reversal of 209957344 is 443759902.

It is an interprime number because it is at equal distance from previous prime (209957329) and next prime (209957359).

It is a self number, because there is not a number n which added to its sum of digits gives 209957344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 674949 + ... + 675259.

It is an arithmetic number, because the mean of its divisors is an integer number (6202014).

Almost surely, 2209957344 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 209957344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223272504).

209957344 is an abundant number, since it is smaller than the sum of its proper divisors (236587664).

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

209957344 is a wasteful number, since it uses less digits than its factorization.

209957344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 209957344 is about 14489.9048996189. The cubic root of 209957344 is about 594.3519474821.

The spelling of 209957344 in words is "two hundred nine million, nine hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 289 292 311 544 578 584 622 1156 1168 1241 1244 2312 2336 2482 2488 4624 4964 4976 5287 9248 9928 9952 10574 19856 21097 21148 22703 39712 42194 42296 45406 84388 84592 89879 90812 168776 169184 179758 181624 337552 359516 363248 385951 675104 719032 726496 771902 1438064 1543804 2876128 3087608 6175216 6561167 12350432 13122334 26244668 52489336 104978672 209957344