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22400131312 = 2413487122109
BaseRepresentation
bin10100110111001001…
…101110000011110000
32010211002210120110001
4110313021232003300
5331333413200222
614142424315344
71422044655166
oct246711560360
963732716401
1022400131312
119555321219
124411912b54
13215ca0b290
141126d7b236
158b181ae27
hex53726e0f0

22400131312 has 40 divisors (see below), whose sum is σ = 46750445280. Its totient is φ = 10335932160.

The previous prime is 22400131291. The next prime is 22400131357. The reversal of 22400131312 is 21313100422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22400131312.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1002114 + ... + 1024222.

It is an arithmetic number, because the mean of its divisors is an integer number (1168761132).

Almost surely, 222400131312 is an apocalyptic number.

It is an amenable number.

22400131312 is an abundant number, since it is smaller than the sum of its proper divisors (24350313968).

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

22400131312 is a wasteful number, since it uses less digits than its factorization.

22400131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27001 (or 26995 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22400131312 its reverse (21313100422), we get a palindrome (43713231734).

The spelling of 22400131312 in words is "twenty-two billion, four hundred million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 4871 9742 19484 22109 38968 44218 63323 77936 88436 126646 176872 253292 287417 353744 506584 574834 1013168 1149668 2299336 4598672 107692939 215385878 430771756 861543512 1400008207 1723087024 2800016414 5600032828 11200065656 22400131312