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2242431420024 = 2336710211136573
BaseRepresentation
bin100000101000011011010…
…101000000011001111000
321221101002220100000012110
4200220123111000121320
5243214444420420044
64434054143412320
7321003353401005
oct40503325003170
97841086300173
102242431420024
11795012092964
123027218b40a0
131335ca5a2b73
147a76a01a8ac
153d4e66196b9
hex20a1b540678

2242431420024 has 64 divisors (see below), whose sum is σ = 5690350247040. Its totient is φ = 736243263360.

The previous prime is 2242431420007. The next prime is 2242431420067. The reversal of 2242431420024 is 4200241342422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2242431419973 and 2242431420000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16351002 + ... + 16487574.

It is an arithmetic number, because the mean of its divisors is an integer number (88911722610).

Almost surely, 22242431420024 is an apocalyptic number.

2242431420024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242431420024 is an abundant number, since it is smaller than the sum of its proper divisors (3447918827016).

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

2242431420024 is a wasteful number, since it uses less digits than its factorization.

2242431420024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146860 (or 146856 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2242431420024 its reverse (4200241342422), we get a palindrome (6442672762446).

The spelling of 2242431420024 in words is "two trillion, two hundred forty-two billion, four hundred thirty-one million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 10211 20422 30633 40844 61266 81688 122532 136573 245064 273146 409719 546292 684137 819438 1092584 1368274 1638876 2052411 2736548 3277752 4104822 5473096 8209644 9150391 16419288 18300782 27451173 36601564 54902346 73203128 109804692 219609384 1394546903 2789093806 4183640709 5578187612 8367281418 11156375224 16734562836 33469125672 93434642501 186869285002 280303927503 373738570004 560607855006 747477140008 1121215710012 2242431420024