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22434013420 = 225713711391249
BaseRepresentation
bin10100111001001010…
…111110000011101100
32010220110112221221221
4110321022332003230
5331421101412140
614150034433124
71422635652640
oct247112760354
963813487857
1022434013420
119572463365
1244211327a4
132166a42270
14112b67ac20
158b47b014a
hex5392be0ec

22434013420 has 192 divisors, whose sum is σ = 59270400000. Its totient is φ = 6944071680.

The previous prime is 22434013409. The next prime is 22434013421. The reversal of 22434013420 is 2431043422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22434013421) 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, 17960956 + ... + 17962204.

It is an arithmetic number, because the mean of its divisors is an integer number (308700000).

Almost surely, 222434013420 is an apocalyptic number.

22434013420 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 22434013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200000).

22434013420 is an abundant number, since it is smaller than the sum of its proper divisors (36836386580).

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

22434013420 is a wasteful number, since it uses less digits than its factorization.

22434013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22434013420 its reverse (2431043422), we get a palindrome (24865056842).

The spelling of 22434013420 in words is "twenty-two billion, four hundred thirty-four million, thirteen thousand, four hundred twenty".