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22400131300 = 2252832779743
BaseRepresentation
bin10100110111001001…
…101110000011100100
32010211002210120102121
4110313021232003210
5331333413200200
614142424315324
71422044655151
oct246711560344
963732716377
1022400131300
119555321208
124411912b44
13215ca0b281
141126d7b228
158b181ae1a
hex53726e0e4

22400131300 has 72 divisors (see below), whose sum is σ = 49376589696. Its totient is φ = 8819237760.

The previous prime is 22400131291. The next prime is 22400131357. The reversal of 22400131300 is 313100422.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 2294229 + ... + 2303971.

It is an arithmetic number, because the mean of its divisors is an integer number (685785968).

Almost surely, 222400131300 is an apocalyptic number.

22400131300 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 22400131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24688294848).

22400131300 is an abundant number, since it is smaller than the sum of its proper divisors (26976458396).

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

22400131300 is a wasteful number, since it uses less digits than its factorization.

22400131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22400131300 its reverse (313100422), we get a palindrome (22713231722).

The spelling of 22400131300 in words is "twenty-two billion, four hundred million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 277 332 415 554 830 1108 1385 1660 2075 2770 4150 5540 6925 8300 9743 13850 19486 22991 27700 38972 45982 48715 91964 97430 114955 194860 229910 243575 459820 487150 574775 808669 974300 1149550 1617338 2299100 2698811 3234676 4043345 5397622 8086690 10795244 13494055 16173380 20216725 26988110 40433450 53976220 67470275 80866900 134940550 224001313 269881100 448002626 896005252 1120006565 2240013130 4480026260 5600032825 11200065650 22400131300