Search a number
-
+
22712126140 = 225111719437433
BaseRepresentation
bin10101001001101111…
…111000101010111100
32011121211212112220001
4111021233320222330
5333003301014030
614233411404044
71432553613124
oct251157705274
964554775801
1022712126140
1196a5448590
12449a2b3624
1321ac5488c2
141156593c84
158cdde8cca
hex549bf8abc

22712126140 has 192 divisors, whose sum is σ = 59348298240. Its totient is φ = 7191797760.

The previous prime is 22712126131. The next prime is 22712126147. The reversal of 22712126140 is 4162121722.

It is a junction number, because it is equal to n+sod(n) for n = 22712126099 and 22712126108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22712126147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3051864 + ... + 3059296.

It is an arithmetic number, because the mean of its divisors is an integer number (309105720).

Almost surely, 222712126140 is an apocalyptic number.

22712126140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22712126140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29674149120).

22712126140 is an abundant number, since it is smaller than the sum of its proper divisors (36636172100).

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

22712126140 is a wasteful number, since it uses less digits than its factorization.

22712126140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 22712126140 its reverse (4162121722), we get a palindrome (26874247862).

The spelling of 22712126140 in words is "twenty-two billion, seven hundred twelve million, one hundred twenty-six thousand, one hundred forty".