Search a number
-
+
18022400 = 2165211
BaseRepresentation
bin100010011000…
…0000000000000
31020220122002022
41010300000000
514103204100
61442141012
7306121304
oct104600000
936818068
1018022400
11a19a550
126051768
133970256
142571d04
1518aee85
hex1130000

18022400 has 102 divisors (see below), whose sum is σ = 48758412. Its totient is φ = 6553600.

The previous prime is 18022399. The next prime is 18022429. The reversal of 18022400 is 422081.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1638395 + ... + 1638405.

Almost surely, 218022400 is an apocalyptic number.

18022400 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 18022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24379206).

18022400 is an abundant number, since it is smaller than the sum of its proper divisors (30736012).

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

18022400 is an frugal number, since it uses more digits than its factorization.

18022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 18022400 is about 4245.2797316549. The cubic root of 18022400 is about 262.1828065922.

Adding to 18022400 its reverse (422081), we get a palindrome (18444481).

The spelling of 18022400 in words is "eighteen million, twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 1024 1100 1280 1408 1600 1760 2048 2200 2560 2816 3200 3520 4096 4400 5120 5632 6400 7040 8192 8800 10240 11264 12800 14080 16384 17600 20480 22528 25600 28160 32768 35200 40960 45056 51200 56320 65536 70400 81920 90112 102400 112640 140800 163840 180224 204800 225280 281600 327680 360448 409600 450560 563200 720896 819200 901120 1126400 1638400 1802240 2252800 3604480 4505600 9011200 18022400