Search a number
-
+
81518220 = 223257312087
BaseRepresentation
bin1001101101111…
…01111010001100
312200101112222100
410312331322030
5131332040340
612031115100
72006615310
oct466757214
9180345870
1081518220
1142018933
1223372a90
1313b72444
14ab7db40
157253830
hex4dbde8c

81518220 has 144 divisors (see below), whose sum is σ = 291852288. Its totient is φ = 18023040.

The previous prime is 81518219. The next prime is 81518221. The reversal of 81518220 is 2281518.

It is an interprime number because it is at equal distance from previous prime (81518219) and next prime (81518221).

It is not an unprimeable number, because it can be changed into a prime (81518221) 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, 38017 + ... + 40103.

It is an arithmetic number, because the mean of its divisors is an integer number (2026752).

Almost surely, 281518220 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 81518220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145926144).

81518220 is an abundant number, since it is smaller than the sum of its proper divisors (210334068).

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

81518220 is a wasteful number, since it uses less digits than its factorization.

81518220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 81518220 is about 9028.7440987105. The cubic root of 81518220 is about 433.5956294976.

Adding to 81518220 its reverse (2281518), we get a palindrome (83799738).

The spelling of 81518220 in words is "eighty-one million, five hundred eighteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2087 2170 2604 2790 3255 3906 4174 4340 5580 6261 6510 7812 8348 9765 10435 12522 13020 14609 18783 19530 20870 25044 29218 31305 37566 39060 41740 43827 58436 62610 64697 73045 75132 87654 93915 125220 129394 131481 146090 175308 187830 194091 219135 258788 262962 292180 323485 375660 388182 438270 452879 525924 582273 646970 657405 776364 876540 905758 970455 1164546 1293940 1314810 1358637 1811516 1940910 2264395 2329092 2629620 2717274 2911365 3881820 4075911 4528790 5434548 5822730 6793185 8151822 9057580 11645460 13586370 16303644 20379555 27172740 40759110 81518220