Search a number
-
+
22742132 = 2275231553
BaseRepresentation
bin101011011000…
…0010001110100
31120210102100012
41112300101310
521310222012
62131235352
7364206410
oct126602164
946712305
1022742132
1111923556
127748b58
1349335aa
14303dd40
151ee3622
hex15b0474

22742132 has 24 divisors (see below), whose sum is σ = 45600576. Its totient is φ = 9721728.

The previous prime is 22742131. The next prime is 22742149. The reversal of 22742132 is 23124722.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22742098 and 22742107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22742131) 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 7 ways as a sum of consecutive naturals, for example, 13868 + ... + 15420.

It is an arithmetic number, because the mean of its divisors is an integer number (1900024).

Almost surely, 222742132 is an apocalyptic number.

It is an amenable number.

22742132 is an abundant number, since it is smaller than the sum of its proper divisors (22858444).

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

22742132 is a wasteful number, since it uses less digits than its factorization.

22742132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2085 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 22742132 is about 4768.8711452502. The cubic root of 22742132 is about 283.3198861746.

Adding to 22742132 its reverse (23124722), we get a palindrome (45866854).

The spelling of 22742132 in words is "twenty-two million, seven hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 523 1046 1553 2092 3106 3661 6212 7322 10871 14644 21742 43484 812219 1624438 3248876 5685533 11371066 22742132