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159229980 = 223257139721
BaseRepresentation
bin10010111110110…
…10100000011100
3102002121201110200
421133122200130
5311230324410
623444503500
73642301230
oct1137324034
9362551420
10159229980
1181976928
12453aab90
1326cb1130
141720c5c0
15dea43c0
hex97da81c

159229980 has 144 divisors (see below), whose sum is σ = 594519744. Its totient is φ = 33592320.

The previous prime is 159229969. The next prime is 159229997. The reversal of 159229980 is 89922951.

159229980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11520 + ... + 21240.

Almost surely, 2159229980 is an apocalyptic number.

159229980 is a gapful number since it is divisible by the number (10) 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 159229980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297259872).

159229980 is an abundant number, since it is smaller than the sum of its proper divisors (435289764).

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

159229980 is a wasteful number, since it uses less digits than its factorization.

159229980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9751 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 159229980 is about 12618.6362179120. The cubic root of 159229980 is about 542.0112241971.

The spelling of 159229980 in words is "one hundred fifty-nine million, two hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 9721 16380 19442 29163 38884 48605 58326 68047 87489 97210 116652 126373 136094 145815 174978 194420 204141 252746 272188 291630 340235 349956 379119 408282 437445 505492 583260 612423 631865 680470 758238 816564 874890 884611 1020705 1137357 1224846 1263730 1360940 1516476 1749780 1769222 1895595 2041410 2274714 2449692 2527460 2653833 3062115 3538444 3791190 4082820 4423055 4549428 5307666 5686785 6124230 7582380 7961499 8846110 10615332 11373570 12248460 13269165 15922998 17692220 22747140 26538330 31845996 39807495 53076660 79614990 159229980