Search a number
-
+
18193332 = 22317101883
BaseRepresentation
bin100010101100…
…1101110110100
31021020022120010
41011121232310
514124141312
61445540220
7310432533
oct105315664
937208503
1018193332
11a2a6a13
126114670
1339cccb1
1425b831a
1518e593c
hex1159bb4

18193332 has 48 divisors (see below), whose sum is σ = 45444672. Its totient is φ = 5644800.

The previous prime is 18193327. The next prime is 18193333. The reversal of 18193332 is 23339181.

It is a self number, because there is not a number n which added to its sum of digits gives 18193332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18193333) 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 15 ways as a sum of consecutive naturals, for example, 20163 + ... + 21045.

It is an arithmetic number, because the mean of its divisors is an integer number (946764).

Almost surely, 218193332 is an apocalyptic number.

18193332 is a gapful number since it is divisible by the number (12) 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 18193332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22722336).

18193332 is an abundant number, since it is smaller than the sum of its proper divisors (27251340).

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

18193332 is a wasteful number, since it uses less digits than its factorization.

18193332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1006 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 18193332 is about 4265.3642282928. The cubic root of 18193332 is about 263.0090837172.

It can be divided in two parts, 1819 and 3332, that added together give a triangular number (5151 = T101).

The spelling of 18193332 in words is "eighteen million, one hundred ninety-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 883 1212 1717 1766 2649 3434 3532 5151 5298 6868 10302 10596 15011 20604 30022 45033 60044 89183 90066 178366 180132 267549 356732 535098 1070196 1516111 3032222 4548333 6064444 9096666 18193332