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24000222002420 = 22510111881298021
BaseRepresentation
bin1010111010011111111001…
…01101001111110011110100
310010222101202201220002122202
411131033330231033303310
511121204423313034140
6123013314430244032
75024646606021266
oct535177455176364
9103871681802582
1024000222002420
1177134896aa384
1228374a1956618
13105129909b441
145cd88cc69b36
152b947a594915
hex15d3fcb4fcf4

24000222002420 has 24 divisors (see below), whose sum is σ = 50899480726248. Its totient is φ = 9505038416000.

The previous prime is 24000222002413. The next prime is 24000222002423. The reversal of 24000222002420 is 2420022200042.

It can be written as a sum of positive squares in 4 ways, for example, as 11235407909476 + 12764814092944 = 3351926^2 + 3572788^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 24000222002392 and 24000222002401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24000222002423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5940646991 + ... + 5940651030.

It is an arithmetic number, because the mean of its divisors is an integer number (2120811696927).

Almost surely, 224000222002420 is an apocalyptic number.

24000222002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24000222002420 is an abundant number, since it is smaller than the sum of its proper divisors (26899258723828).

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

24000222002420 is a wasteful number, since it uses less digits than its factorization.

24000222002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881298131 (or 11881298129 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 24000222002420 its reverse (2420022200042), we get a palindrome (26420244202462).

The spelling of 24000222002420 in words is "twenty-four trillion, two hundred twenty-two million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 11881298021 23762596042 47525192084 59406490105 118812980210 237625960420 1200011100121 2400022200242 4800044400484 6000055500605 12000111001210 24000222002420