Search a number
-
+
159916224 = 2631379811
BaseRepresentation
bin10011000100000…
…10000011000000
3102010220120211010
421202002003000
5311414304344
623511320520
73651160026
oct1142020300
9363816733
10159916224
11822a5476
1245680140
13271915b0
141734a716
15e08c8b9
hex98820c0

159916224 has 112 divisors (see below), whose sum is σ = 461995520. Its totient is φ = 48522240.

The previous prime is 159916157. The next prime is 159916247. The reversal of 159916224 is 422619951.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196779 + ... + 197589.

It is an arithmetic number, because the mean of its divisors is an integer number (4124960).

Almost surely, 2159916224 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 159916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230997760).

159916224 is an abundant number, since it is smaller than the sum of its proper divisors (302079296).

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

159916224 is a wasteful number, since it uses less digits than its factorization.

159916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 159916224 is about 12645.7986699141. The cubic root of 159916224 is about 542.7887555060.

The spelling of 159916224 in words is "one hundred fifty-nine million, nine hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 156 158 192 208 237 312 316 416 474 624 632 811 832 948 1027 1248 1264 1622 1896 2054 2433 2496 2528 3081 3244 3792 4108 4866 5056 6162 6488 7584 8216 9732 10543 12324 12976 15168 16432 19464 21086 24648 25952 31629 32864 38928 42172 49296 51904 63258 64069 65728 77856 84344 98592 126516 128138 155712 168688 192207 197184 253032 256276 337376 384414 506064 512552 674752 768828 832897 1012128 1025104 1537656 1665794 2024256 2050208 2498691 3075312 3331588 4100416 4997382 6150624 6663176 9994764 12301248 13326352 19989528 26652704 39979056 53305408 79958112 159916224