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22400042240424 = 2332752073391393
BaseRepresentation
bin1010001011111011010101…
…00011111000100110101000
32221022102102110100202120210
411011331222203320212220
510414000241303143144
6115350234244421120
74501230633326622
oct505755243704650
987272373322523
1022400042240424
117156893971062
1226193409a77a0
13c66412b55974
1457624c747c12
1528ca23302ab9
hex145f6a8f89a8

22400042240424 has 32 divisors (see below), whose sum is σ = 56000325597120. Its totient is φ = 7466651414016.

The previous prime is 22400042240423. The next prime is 22400042240491. The reversal of 22400042240424 is 42404224000422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22400042240391 and 22400042240400.

It is not an unprimeable number, because it can be changed into a prime (22400042240423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4909272 + ... + 8300664.

It is an arithmetic number, because the mean of its divisors is an integer number (1750010174910).

Almost surely, 222400042240424 is an apocalyptic number.

22400042240424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22400042240424 is an abundant number, since it is smaller than the sum of its proper divisors (33600283356696).

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

22400042240424 is a wasteful number, since it uses less digits than its factorization.

22400042240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666609 (or 3666605 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 22400042240424 its reverse (42404224000422), we get a palindrome (64804266240846).

The spelling of 22400042240424 in words is "twenty-two trillion, four hundred billion, forty-two million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 275207 550414 825621 1100828 1651242 2201656 3302484 3391393 6604968 6782786 10174179 13565572 20348358 27131144 40696716 81393432 933335093351 1866670186702 2800005280053 3733340373404 5600010560106 7466680746808 11200021120212 22400042240424