Search a number
-
+
22121130 = 235191972
BaseRepresentation
bin101010001100…
…0101010101010
31112121212111010
41110120222222
521130334010
62110044350
7356012043
oct124305252
945555433
1022121130
1111539a29
1274a96b6
134776a35
142d1b8ca
151e1e620
hex1518aaa

22121130 has 48 divisors (see below), whose sum is σ = 56170080. Its totient is φ = 5560128.

The previous prime is 22121089. The next prime is 22121137. The reversal of 22121130 is 3112122.

It is not an unprimeable number, because it can be changed into a prime (22121137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112192 + ... + 112388.

It is an arithmetic number, because the mean of its divisors is an integer number (1170210).

Almost surely, 222121130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28085040).

22121130 is an abundant number, since it is smaller than the sum of its proper divisors (34048950).

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

22121130 is a wasteful number, since it uses less digits than its factorization.

22121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 22121130 is about 4703.3105362074. The cubic root of 22121130 is about 280.7172512481.

Adding to 22121130 its reverse (3112122), we get a palindrome (25233252).

The spelling of 22121130 in words is "twenty-two million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 197 285 394 570 591 985 1182 1970 2955 3743 5910 7486 11229 18715 22458 37430 38809 56145 77618 112290 116427 194045 232854 388090 582135 737371 1164270 1474742 2212113 3686855 4424226 7373710 11060565 22121130