Search a number
-
+
159215112 = 233374307
BaseRepresentation
bin10010111110101…
…10111000001000
3102002120222002000
421133112320020
5311224340422
623444311000
73642210000
oct1137267010
9362528060
10159215112
1181966741
12453a2460
1326ca7434
1417207000
15de9ecac
hex97d6e08

159215112 has 160 divisors (see below), whose sum is σ = 517624800. Its totient is φ = 45341856.

The previous prime is 159215071. The next prime is 159215123. The reversal of 159215112 is 211512951.

159215112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 39 ways as a sum of consecutive naturals, for example, 518463 + ... + 518769.

It is an arithmetic number, because the mean of its divisors is an integer number (3235155).

Almost surely, 2159215112 is an apocalyptic number.

159215112 is a gapful number since it is divisible by the number (12) 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 159215112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258812400).

159215112 is an abundant number, since it is smaller than the sum of its proper divisors (358409688).

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

159215112 is an equidigital number, since it uses as much as digits as its factorization.

159215112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 319 counting only the distinct ones).

The product of its digits is 900, while the sum is 27.

The square root of 159215112 is about 12618.0470755185. The cubic root of 159215112 is about 541.9943536855.

The spelling of 159215112 in words is "one hundred fifty-nine million, two hundred fifteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 307 343 378 392 441 504 588 614 686 756 882 921 1029 1176 1228 1323 1372 1512 1764 1842 2058 2149 2401 2456 2646 2744 2763 3087 3528 3684 4116 4298 4802 5292 5526 6174 6447 7203 7368 8232 8289 8596 9261 9604 10584 11052 12348 12894 14406 15043 16578 17192 18522 19208 19341 21609 22104 24696 25788 28812 30086 33156 37044 38682 43218 45129 51576 57624 58023 60172 64827 66312 74088 77364 86436 90258 105301 116046 120344 129654 135387 154728 172872 180516 210602 232092 259308 270774 315903 361032 406161 421204 464184 518616 541548 631806 737107 812322 842408 947709 1083096 1263612 1474214 1624644 1895418 2211321 2527224 2843127 2948428 3249288 3790836 4422642 5686254 5896856 6633963 7581672 8845284 11372508 13267926 17690568 19901889 22745016 26535852 39803778 53071704 79607556 159215112