Search a number
-
+
18227972 = 2275371173
BaseRepresentation
bin100010110001…
…0001100000100
31021022002002002
41011202030010
514131243342
61450404432
7310635530
oct105421404
937262062
1018227972
11a31aa44
126130718
133a129a9
1425c6bc0
151900d32
hex1162304

18227972 has 48 divisors (see below), whose sum is σ = 37884672. Its totient is φ = 7512960.

The previous prime is 18227947. The next prime is 18227977. The reversal of 18227972 is 27972281.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18227977) 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, 105278 + ... + 105450.

It is an arithmetic number, because the mean of its divisors is an integer number (789264).

Almost surely, 218227972 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 18227972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942336).

18227972 is an abundant number, since it is smaller than the sum of its proper divisors (19656700).

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

18227972 is a wasteful number, since it uses less digits than its factorization.

18227972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its digits is 28224, while the sum is 38.

The square root of 18227972 is about 4269.4229118231. The cubic root of 18227972 is about 263.1759004859.

The spelling of 18227972 in words is "eighteen million, two hundred twenty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 53 71 106 142 173 212 284 346 371 497 692 742 994 1211 1484 1988 2422 3763 4844 7526 9169 12283 15052 18338 24566 26341 36676 49132 52682 64183 85981 105364 128366 171962 256732 343924 650999 1301998 2603996 4556993 9113986 18227972