Search a number
-
+
22754742484936 = 23711229457253387
BaseRepresentation
bin1010010110010000000000…
…10101111011111111001000
32222120022222010110010021211
411023020000111323333020
510440303203034004221
6120221215005542504
74535655505551640
oct513100025737710
988508863403254
1022754742484936
117283260a10700
122676031274a34
13c909bc43c457
1458949a52d520
15296d82ceb6e1
hex14b20057bfc8

22754742484936 has 192 divisors, whose sum is σ = 55565555875200. Its totient is φ = 8541013662720.

The previous prime is 22754742484931. The next prime is 22754742484967. The reversal of 22754742484936 is 63948424745722.

It is not an unprimeable number, because it can be changed into a prime (22754742484931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89675635 + ... + 89929021.

It is an arithmetic number, because the mean of its divisors is an integer number (289403936850).

Almost surely, 222754742484936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22754742484936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27782777937600).

22754742484936 is an abundant number, since it is smaller than the sum of its proper divisors (32810813390264).

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

22754742484936 is a wasteful number, since it uses less digits than its factorization.

22754742484936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253908 (or 253893 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 67.

The spelling of 22754742484936 in words is "twenty-two trillion, seven hundred fifty-four billion, seven hundred forty-two million, four hundred eighty-four thousand, nine hundred thirty-six".