Search a number
-
+
209314608 = 24317279191
BaseRepresentation
bin11000111100111…
…10001100110000
3112120212021122220
430132132030300
5412041031413
632434201040
75121100446
oct1436361460
9476767586
10209314608
11a8175188
125a123180
1334498bc9
141db28b96
1513599223
hexc79e330

209314608 has 120 divisors (see below), whose sum is σ = 584724480. Its totient is φ = 64496640.

The previous prime is 209314601. The next prime is 209314619. The reversal of 209314608 is 806413902.

209314608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (209314601) 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, 1095793 + ... + 1095983.

It is an arithmetic number, because the mean of its divisors is an integer number (4872704).

Almost surely, 2209314608 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 209314608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292362240).

209314608 is an abundant number, since it is smaller than the sum of its proper divisors (375409872).

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

209314608 is a wasteful number, since it uses less digits than its factorization.

209314608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 209314608 is about 14467.7091483068. The cubic root of 209314608 is about 593.7448370668.

The spelling of 209314608 in words is "two hundred nine million, three hundred fourteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 79 102 136 158 191 204 237 272 289 316 382 408 474 573 578 632 764 816 867 948 1146 1156 1264 1343 1528 1734 1896 2292 2312 2686 3056 3247 3468 3792 4029 4584 4624 5372 6494 6936 8058 9168 9741 10744 12988 13872 15089 16116 19482 21488 22831 25976 30178 32232 38964 45267 45662 51952 55199 60356 64464 68493 77928 90534 91324 110398 120712 136986 155856 165597 181068 182648 220796 241424 256513 273972 331194 362136 365296 441592 513026 547944 662388 724272 769539 883184 1026052 1095888 1324776 1539078 2052104 2649552 3078156 4104208 4360721 6156312 8721442 12312624 13082163 17442884 26164326 34885768 52328652 69771536 104657304 209314608