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18214660 = 2254197229
BaseRepresentation
bin100010101111…
…0111100000100
31021021101211001
41011132330010
514130332120
61450223044
7310551652
oct105367404
937241731
1018214660
11a310a42
126124a84
133a09909
1425c1dd2
1518ebe0a
hex115ef04

18214660 has 48 divisors (see below), whose sum is σ = 39760560. Its totient is φ = 7004160.

The previous prime is 18214631. The next prime is 18214727. The reversal of 18214660 is 6641281.

It can be written as a sum of positive squares in 8 ways, for example, as 254016 + 17960644 = 504^2 + 4238^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79426 + ... + 79654.

It is an arithmetic number, because the mean of its divisors is an integer number (828345).

Almost surely, 218214660 is an apocalyptic number.

18214660 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 18214660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19880280).

18214660 is an abundant number, since it is smaller than the sum of its proper divisors (21545900).

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

18214660 is a wasteful number, since it uses less digits than its factorization.

18214660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 18214660 is about 4267.8636341851. The cubic root of 18214660 is about 263.1118185576. Note that the first 3 decimals are identical.

The spelling of 18214660 in words is "eighteen million, two hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 97 164 194 205 229 388 410 458 485 820 916 970 1145 1940 2290 3977 4580 7954 9389 15908 18778 19885 22213 37556 39770 44426 46945 79540 88852 93890 111065 187780 222130 444260 910733 1821466 3642932 4553665 9107330 18214660