Search a number
-
+
22132120 = 235717793
BaseRepresentation
bin101010001101…
…1010110011000
31112122102120011
41110123112120
521131211440
62110211304
7356056063
oct124332630
945572504
1022132120
111154720a
1274b3b34
13477ba3a
142d218da
151e229ea
hex151b598

22132120 has 32 divisors (see below), whose sum is σ = 50505120. Its totient is φ = 8727040.

The previous prime is 22132091. The next prime is 22132127. The reversal of 22132120 is 2123122.

It is a self number, because there is not a number n which added to its sum of digits gives 22132120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057 + ... + 6736.

It is an arithmetic number, because the mean of its divisors is an integer number (1578285).

Almost surely, 222132120 is an apocalyptic number.

22132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132120 is an abundant number, since it is smaller than the sum of its proper divisors (28373000).

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

22132120 is a wasteful number, since it uses less digits than its factorization.

22132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7875 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 22132120 is about 4704.4787171375. The cubic root of 22132120 is about 280.7637312702.

Adding to 22132120 its reverse (2123122), we get a palindrome (24255242).

The spelling of 22132120 in words is "twenty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 7793 15586 31172 38965 62344 77930 155860 311720 553303 1106606 2213212 2766515 4426424 5533030 11066060 22132120