Search a number
-
+
24222243242000 = 245370117276921
BaseRepresentation
bin1011000000111101011100…
…01101000100000000010000
310011202121211210000122212002
411200132232031010000100
511133324123232221000
6123303313412053132
75046666524305046
oct540365615040020
9104677753018762
1024222243242000
117799660923831
1228725243041a8
1310691bc767c9b
145da51185a396
152c0121e408d5
hex1607ae344010

24222243242000 has 80 divisors (see below), whose sum is σ = 58652938743984. Its totient is φ = 9675075200000.

The previous prime is 24222243241969. The next prime is 24222243242011. The reversal of 24222243242000 is 24234222242.

It can be written as a sum of positive squares in 8 ways, for example, as 6883213993744 + 17339029248256 = 2623588^2 + 4164016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×242222432420002 (a number of 28 digits) contains 22 as substring.

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, 7236461 + ... + 10040460.

Almost surely, 224222243242000 is an apocalyptic number.

24222243242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24222243242000 is an abundant number, since it is smaller than the sum of its proper divisors (34430695501984).

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

24222243242000 is a wasteful number, since it uses less digits than its factorization.

24222243242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17277645 (or 17277629 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 24222243242000 its reverse (24234222242), we get a palindrome (24246477464242).

The spelling of 24222243242000 in words is "twenty-four trillion, two hundred twenty-two billion, two hundred forty-three million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 701 1000 1402 2000 2804 3505 5608 7010 11216 14020 17525 28040 35050 56080 70100 87625 140200 175250 280400 350500 701000 1402000 17276921 34553842 69107684 86384605 138215368 172769210 276430736 345538420 431923025 691076840 863846050 1382153680 1727692100 2159615125 3455384200 4319230250 6910768400 8638460500 12111121621 17276921000 24222243242 34553842000 48444486484 60555608105 96888972968 121111216210 193777945936 242222432420 302778040525 484444864840 605556081050 968889729680 1211112162100 1513890202625 2422224324200 3027780405250 4844448648400 6055560810500 12111121621000 24222243242000