Search a number
-
+
91168220 = 2251113127251
BaseRepresentation
bin1010110111100…
…01110111011100
320100112211021202
411123301313130
5141314340340
613014015032
72154626363
oct533616734
9210484252
1091168220
114750a040
1226647478
1315b708c0
14c1727da
15800cc15
hex56f1ddc

91168220 has 96 divisors (see below), whose sum is σ = 227598336. Its totient is φ = 30240000.

The previous prime is 91168211. The next prime is 91168243. The reversal of 91168220 is 2286119.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363095 + ... + 363345.

It is an arithmetic number, because the mean of its divisors is an integer number (2370816).

Almost surely, 291168220 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 91168220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168).

91168220 is an abundant number, since it is smaller than the sum of its proper divisors (136430116).

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

91168220 is a wasteful number, since it uses less digits than its factorization.

91168220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 91168220 is about 9548.2050669223. The cubic root of 91168220 is about 450.0711327882.

The spelling of 91168220 in words is "ninety-one million, one hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 127 130 143 220 251 254 260 286 502 508 572 635 715 1004 1255 1270 1397 1430 1651 2510 2540 2761 2794 2860 3263 3302 5020 5522 5588 6526 6604 6985 8255 11044 13052 13805 13970 16315 16510 18161 27610 27940 31877 32630 33020 35893 36322 55220 63754 65260 71786 72644 90805 127508 143572 159385 179465 181610 318770 350647 358930 363220 414401 637540 701294 717860 828802 1402588 1657604 1753235 2072005 3506470 4144010 4558411 7012940 8288020 9116822 18233644 22792055 45584110 91168220