Search a number
-
+
22541110050 = 235217113137571
BaseRepresentation
bin10100111111100011…
…100000101100100010
32011011221002000220210
4110333203200230202
5332131011010200
614204422114550
71425406163004
oct247743405442
964157060823
1022541110050
119617961678
124450b7ba56
132182c9bc54
14113b998374
158bddb7650
hex53f8e0b22

22541110050 has 192 divisors, whose sum is σ = 60255321984. Its totient is φ = 5556633600.

The previous prime is 22541110043. The next prime is 22541110051. The reversal of 22541110050 is 5001114522.

It is a super-2 number, since 2×225411100502 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22541109999 and 22541110026.

It is not an unprimeable number, because it can be changed into a prime (22541110051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39476265 + ... + 39476835.

It is an arithmetic number, because the mean of its divisors is an integer number (313829802).

Almost surely, 222541110050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22541110050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30127660992).

22541110050 is an abundant number, since it is smaller than the sum of its proper divisors (37714211934).

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

22541110050 is a wasteful number, since it uses less digits than its factorization.

22541110050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 22541110050 its reverse (5001114522), we get a palindrome (27542224572).

The spelling of 22541110050 in words is "twenty-two billion, five hundred forty-one million, one hundred ten thousand, fifty".