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159008220 = 223257971301
BaseRepresentation
bin10010111101001…
…00010111011100
3102002012110021100
421132210113130
5311201230340
623440033100
73640355550
oct1136442734
9362173240
10159008220
1181835258
1245302790
1326c34207
1417191860
15de5d830
hex97a45dc

159008220 has 144 divisors (see below), whose sum is σ = 557339328. Its totient is φ = 35942400.

The previous prime is 159008183. The next prime is 159008221. The reversal of 159008220 is 22800951.

It is a super-2 number, since 2×1590082202 = 50567228055136800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159008221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121570 + ... + 122870.

It is an arithmetic number, because the mean of its divisors is an integer number (3870412).

Almost surely, 2159008220 is an apocalyptic number.

159008220 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 159008220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278669664).

159008220 is an abundant number, since it is smaller than the sum of its proper divisors (398331108).

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

159008220 is a wasteful number, since it uses less digits than its factorization.

159008220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 159008220 is about 12609.8461529077. The cubic root of 159008220 is about 541.7594871571.

The spelling of 159008220 in words is "one hundred fifty-nine million, eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1301 1358 1455 1746 1940 2037 2602 2716 2910 3395 3492 3903 4074 4365 5204 5820 6111 6505 6790 7806 8148 8730 9107 10185 11709 12222 13010 13580 15612 17460 18214 19515 20370 23418 24444 26020 27321 30555 36428 39030 40740 45535 46836 54642 58545 61110 78060 81963 91070 109284 117090 122220 126197 136605 163926 182140 234180 252394 273210 327852 378591 409815 504788 546420 630985 757182 819630 883379 1135773 1261970 1514364 1639260 1766758 1892955 2271546 2523940 2650137 3533516 3785910 4416895 4543092 5300274 5678865 7571820 7950411 8833790 10600548 11357730 13250685 15900822 17667580 22715460 26501370 31801644 39752055 53002740 79504110 159008220