Search a number
-
+
18227120 = 245713209
BaseRepresentation
bin100010110000…
…1111110110000
31021022000220112
41011201332300
514131231440
61450400452
7310633202
oct105417660
937260815
1018227120
11a31a33a
126130128
133a124a2
1425c6772
151900965
hex1161fb0

18227120 has 40 divisors (see below), whose sum is σ = 42988320. Its totient is φ = 7185920.

The previous prime is 18227119. The next prime is 18227123. The reversal of 18227120 is 2172281.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (18227123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4076 + ... + 7284.

It is an arithmetic number, because the mean of its divisors is an integer number (1074708).

Almost surely, 218227120 is an apocalyptic number.

18227120 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 18227120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21494160).

18227120 is an abundant number, since it is smaller than the sum of its proper divisors (24761200).

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

18227120 is a wasteful number, since it uses less digits than its factorization.

18227120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 18227120 is about 4269.3231313640. The cubic root of 18227120 is about 263.1718000231.

The spelling of 18227120 in words is "eighteen million, two hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 3209 5680 6418 12836 16045 25672 32090 51344 64180 128360 227839 256720 455678 911356 1139195 1822712 2278390 3645424 4556780 9113560 18227120