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22424113140 = 2235111321271583
BaseRepresentation
bin10100111000100101…
…001100111111110100
32010212202220222022220
4110320211030333310
5331411033110030
614145042322340
71422455550102
oct247045147764
963782828286
1022424113140
119567911110
1244199593b0
132164986c00
14112a220c72
158b39a6a10
hex53894cff4

22424113140 has 288 divisors, whose sum is σ = 74800889856. Its totient is φ = 4975326720.

The previous prime is 22424113111. The next prime is 22424113141. The reversal of 22424113140 is 4131142422.

It is a self number, because there is not a number n which added to its sum of digits gives 22424113140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22424113141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14164789 + ... + 14166371.

It is an arithmetic number, because the mean of its divisors is an integer number (259725312).

Almost surely, 222424113140 is an apocalyptic number.

22424113140 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 22424113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37400444928).

22424113140 is an abundant number, since it is smaller than the sum of its proper divisors (52376776716).

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

22424113140 is a wasteful number, since it uses less digits than its factorization.

22424113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22424113140 its reverse (4131142422), we get a palindrome (26555255562).

The spelling of 22424113140 in words is "twenty-two billion, four hundred twenty-four million, one hundred thirteen thousand, one hundred forty".