Search a number
-
+
12218820 = 2235414967
BaseRepresentation
bin101110100111…
…000111000100
3211222210001220
4232213013010
511112000240
61113520340
7205600245
oct56470704
924883056
1012218820
1169961a9
1241130b0
1326ba793
1418a0ccc
1511155d0
hexba71c4

12218820 has 48 divisors (see below), whose sum is σ = 35054208. Its totient is φ = 3178240.

The previous prime is 12218783. The next prime is 12218821. The reversal of 12218820 is 2881221.

12218820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12218821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24 + ... + 4943.

It is an arithmetic number, because the mean of its divisors is an integer number (730296).

Almost surely, 212218820 is an apocalyptic number.

12218820 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 12218820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527104).

12218820 is an abundant number, since it is smaller than the sum of its proper divisors (22835388).

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

12218820 is a wasteful number, since it uses less digits than its factorization.

12218820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12218820 is about 3495.5428762926. The cubic root of 12218820 is about 230.3260655664.

The spelling of 12218820 in words is "twelve million, two hundred eighteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 4967 9934 14901 19868 24835 29802 49670 59604 74505 99340 149010 203647 298020 407294 610941 814588 1018235 1221882 2036470 2443764 3054705 4072940 6109410 12218820