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22200 = 2335237
BaseRepresentation
bin101011010111000
31010110020
411122320
51202300
6250440
7121503
oct53270
933406
1022200
1115752
1210a20
13a149
14813a
1568a0
hex56b8

22200 has 48 divisors (see below), whose sum is σ = 70680. Its totient is φ = 5760.

The previous prime is 22193. The next prime is 22229. The reversal of 22200 is 222.

Adding to 22200 its reverse (222), we get a palindrome (22422).

Multipling 22200 by its reverse (222), we get a square (4928400 = 22202).

22200 divided by its reverse (222) gives a square (100 = 102).

It can be divided in two parts, 22 and 200, that added together give a palindrome (222).

It is a Cunningham number, because it is equal to 1492-1.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

22200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582 + ... + 618.

222200 is an apocalyptic number.

22200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22200 is the 80-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340).

22200 is an abundant number, since it is smaller than the sum of its proper divisors (48480).

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

22200 is a wasteful number, since it uses less digits than its factorization.

22200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 22200 is about 148.9966442575. The cubic root of 22200 is about 28.1050475771.

The spelling of 22200 in words is "twenty-two thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200