Search a number
-
+
18227232 = 2532193331
BaseRepresentation
bin100010110001…
…0000000100000
31021022001001200
41011202000200
514131232412
61450401200
7310633422
oct105420040
937261050
1018227232
11a31a431
126130200
133a1255a
1425c6812
1519009dc
hex1162020

18227232 has 72 divisors (see below), whose sum is σ = 54578160. Its totient is φ = 5754240.

The previous prime is 18227219. The next prime is 18227233. The reversal of 18227232 is 23272281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 18227196 and 18227205.

It is not an unprimeable number, because it can be changed into a prime (18227233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3807 + ... + 7137.

It is an arithmetic number, because the mean of its divisors is an integer number (758030).

Almost surely, 218227232 is an apocalyptic number.

18227232 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 18227232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27289080).

18227232 is an abundant number, since it is smaller than the sum of its proper divisors (36350928).

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

18227232 is a wasteful number, since it uses less digits than its factorization.

18227232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3355 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 18227232 is about 4269.3362481772. The cubic root of 18227232 is about 263.1723390584.

The spelling of 18227232 in words is "eighteen million, two hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 3331 5472 6662 9993 13324 19986 26648 29979 39972 53296 59958 63289 79944 106592 119916 126578 159888 189867 239832 253156 319776 379734 479664 506312 569601 759468 959328 1012624 1139202 1518936 2025248 2278404 3037872 4556808 6075744 9113616 18227232