Search a number
-
+
22122200 = 2352532087
BaseRepresentation
bin101010001100…
…0111011011000
31112121220221202
41110120323120
521130402300
62110053332
7356015132
oct124307330
945556852
1022122200
111153a811
1274aa248
134777379
142d1c052
151e1ead5
hex1518ed8

22122200 has 48 divisors (see below), whose sum is σ = 52429680. Its totient is φ = 8677760.

The previous prime is 22122173. The next prime is 22122203. The reversal of 22122200 is 222122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9557 + ... + 11643.

It is an arithmetic number, because the mean of its divisors is an integer number (1092285).

Almost surely, 222122200 is an apocalyptic number.

22122200 is a gapful number since it is divisible by the number (20) 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 22122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26214840).

22122200 is an abundant number, since it is smaller than the sum of its proper divisors (30307480).

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

22122200 is a wasteful number, since it uses less digits than its factorization.

22122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 22122200 is about 4703.4242844974. The cubic root of 22122200 is about 280.7217772769.

Adding to 22122200 its reverse (222122), we get a palindrome (22344322).

It can be divided in two parts, 22122 and 200, that added together give a palindrome (22322).

The spelling of 22122200 in words is "twenty-two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2087 2120 2650 4174 5300 8348 10435 10600 16696 20870 41740 52175 83480 104350 110611 208700 221222 417400 442444 553055 884888 1106110 2212220 2765275 4424440 5530550 11061100 22122200