Search a number
-
+
9158220 = 2232583613
BaseRepresentation
bin100010111011…
…111001001100
3122020021201100
4202323321030
54321030340
6524143100
7140562231
oct42737114
918207640
109158220
115195785
123097a90
131b88686
141305788
15c0d830
hex8bbe4c

9158220 has 72 divisors (see below), whose sum is σ = 28160496. Its totient is φ = 2408832.

The previous prime is 9158213. The next prime is 9158221. The reversal of 9158220 is 228519.

It is not an unprimeable number, because it can be changed into a prime (9158221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14634 + ... + 15246.

It is an arithmetic number, because the mean of its divisors is an integer number (391118).

Almost surely, 29158220 is an apocalyptic number.

9158220 is a gapful number since it is divisible by the number (90) 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 9158220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14080248).

9158220 is an abundant number, since it is smaller than the sum of its proper divisors (19002276).

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

9158220 is a wasteful number, since it uses less digits than its factorization.

9158220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 706 counting only the distinct ones).

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

The square root of 9158220 is about 3026.2551115198. The cubic root of 9158220 is about 209.2202374562.

It can be divided in two parts, 91 and 58220, that added together give a triangular number (58311 = T341).

The spelling of 9158220 in words is "nine million, one hundred fifty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 613 747 830 996 1226 1245 1494 1660 1839 2452 2490 2988 3065 3678 3735 4980 5517 6130 7356 7470 9195 11034 12260 14940 18390 22068 27585 36780 50879 55170 101758 110340 152637 203516 254395 305274 457911 508790 610548 763185 915822 1017580 1526370 1831644 2289555 3052740 4579110 9158220