Search a number
-
+
818113220 = 2252311315739
BaseRepresentation
bin110000110000110…
…110101011000100
32010000102110100122
4300300312223010
53133414110340
6213103001112
726162563511
oct6060665304
92100373318
10818113220
1138a892631
121a9b99198
13100655582
147a922308
154bc53db5
hex30c36ac4

818113220 has 48 divisors (see below), whose sum is σ = 1808714880. Its totient is φ = 310227456.

The previous prime is 818113217. The next prime is 818113237. The reversal of 818113220 is 22311818.

It is a self number, because there is not a number n which added to its sum of digits gives 818113220.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44111 + ... + 59849.

It is an arithmetic number, because the mean of its divisors is an integer number (37681560).

Almost surely, 2818113220 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 818113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904357440).

818113220 is an abundant number, since it is smaller than the sum of its proper divisors (990601660).

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

818113220 is a wasteful number, since it uses less digits than its factorization.

818113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15884 (or 15882 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 818113220 is about 28602.6785458985. The cubic root of 818113220 is about 935.2717217647.

The spelling of 818113220 in words is "eight hundred eighteen million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 452 460 565 1130 2260 2599 5198 10396 12995 15739 25990 31478 51980 62956 78695 157390 314780 361997 723994 1447988 1778507 1809985 3557014 3619970 7114028 7239940 8892535 17785070 35570140 40905661 81811322 163622644 204528305 409056610 818113220