Search a number
-
+
209005056 = 2933131163
BaseRepresentation
bin11000111010100…
…10101000000000
3112120021120001000
430131102220000
5412001130211
632423412000
75115341121
oct1435225000
9476246030
10209005056
11a7a83657
1259bb4000
13343bb040
141da88048
1513537656
hexc752a00

209005056 has 160 divisors (see below), whose sum is σ = 666832320. Its totient is φ = 64253952.

The previous prime is 209005037. The next prime is 209005061. The reversal of 209005056 is 650500902.

It is a super-2 number, since 2×2090050562 = 87366226867126272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179131 + ... + 180293.

It is an arithmetic number, because the mean of its divisors is an integer number (4167702).

Almost surely, 2209005056 is an apocalyptic number.

209005056 is a gapful number since it is divisible by the number (26) 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 209005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333416160).

209005056 is an abundant number, since it is smaller than the sum of its proper divisors (457827264).

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

209005056 is a wasteful number, since it uses less digits than its factorization.

209005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 209005056 is about 14457.0071591599. The cubic root of 209005056 is about 593.4519994386.

Adding to 209005056 its reverse (650500902), we get a palindrome (859505958).

The spelling of 209005056 in words is "two hundred nine million, five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1163 1248 1404 1536 1664 1728 1872 2304 2326 2496 2808 3328 3456 3489 3744 4608 4652 4992 5616 6656 6912 6978 7488 9304 9984 10467 11232 13824 13956 14976 15119 18608 19968 20934 22464 27912 29952 30238 31401 37216 41868 44928 45357 55824 59904 60476 62802 74432 83736 89856 90714 111648 120952 125604 136071 148864 167472 179712 181428 223296 241904 251208 272142 297728 334944 362856 408213 446592 483808 502416 544284 595456 669888 725712 816426 893184 967616 1004832 1088568 1339776 1451424 1632852 1786368 1935232 2009664 2177136 2679552 2902848 3265704 3870464 4019328 4354272 5359104 5805696 6531408 7740928 8038656 8708544 11611392 13062816 16077312 17417088 23222784 26125632 34834176 52251264 69668352 104502528 209005056