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18122200 = 2352192251
BaseRepresentation
bin100010100100…
…0010111011000
31021002200222121
41011020113120
514114402300
61444231024
7310015255
oct105102730
937080877
1018122200
11a258528
12609b474
1339a67c5
14259a42c
1518ce81a
hex11485d8

18122200 has 72 divisors (see below), whose sum is σ = 44645580. Its totient is φ = 6840000.

The previous prime is 18122191. The next prime is 18122201. The reversal of 18122200 is 222181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18122201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72075 + ... + 72325.

Almost surely, 218122200 is an apocalyptic number.

18122200 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 18122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22322790).

18122200 is an abundant number, since it is smaller than the sum of its proper divisors (26523380).

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

18122200 is a wasteful number, since it uses less digits than its factorization.

18122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 18122200 is about 4257.0177354575. The cubic root of 18122200 is about 262.6658664489.

Adding to 18122200 its reverse (222181), we get a palindrome (18344381).

The spelling of 18122200 in words is "eighteen million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 251 361 380 475 502 722 760 950 1004 1255 1444 1805 1900 2008 2510 2888 3610 3800 4769 5020 6275 7220 9025 9538 10040 12550 14440 18050 19076 23845 25100 36100 38152 47690 50200 72200 90611 95380 119225 181222 190760 238450 362444 453055 476900 724888 906110 953800 1812220 2265275 3624440 4530550 9061100 18122200