Search a number
-
+
208533312 = 2633139283
BaseRepresentation
bin11000110110111…
…11011101000000
3112112101120221000
430123133131000
5411341031222
632405332000
75111334561
oct1433373500
9475346830
10208533312
11a7791189
1259a07000
13342843c0
141d9a4168
15134929ac
hexc6df740

208533312 has 112 divisors (see below), whose sum is σ = 660278080. Its totient is φ = 64157184.

The previous prime is 208533293. The next prime is 208533337. The reversal of 208533312 is 213335802.

It is a super-2 number, since 2×2085333122 = 86972284427378688, which contains 22 as substring.

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

It is a congruent number.

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, 17823 + ... + 27105.

It is an arithmetic number, because the mean of its divisors is an integer number (5895340).

Almost surely, 2208533312 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 208533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330139040).

208533312 is an abundant number, since it is smaller than the sum of its proper divisors (451744768).

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

208533312 is a wasteful number, since it uses less digits than its factorization.

208533312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9317 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 208533312 is about 14440.6825323459. The cubic root of 208533312 is about 593.0051708308.

The spelling of 208533312 in words is "two hundred eight million, five hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 9283 11232 18566 22464 27849 37132 55698 74264 83547 111396 120679 148528 167094 222792 241358 250641 297056 334188 362037 445584 482716 501282 594112 668376 724074 891168 965432 1002564 1086111 1336752 1448148 1782336 1930864 2005128 2172222 2673504 2896296 3258333 3861728 4010256 4344444 5347008 5792592 6516666 7723456 8020512 8688888 11585184 13033332 16041024 17377776 23170368 26066664 34755552 52133328 69511104 104266656 208533312