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20242304000 = 21053158143
BaseRepresentation
bin10010110110100010…
…010000110000000000
31221020201110120211222
4102312202100300000
5312424012212000
613144342454212
71314423513362
oct226642206000
957221416758
1020242304000
118648286666
123b0b134368
131ba7954399
14da055ad32
157d717ea85
hex4b6890c00

20242304000 has 88 divisors (see below), whose sum is σ = 50500439808. Its totient is φ = 8096870400.

The previous prime is 20242303981. The next prime is 20242304009. The reversal of 20242304000 is 40324202.

It is a self number, because there is not a number n which added to its sum of digits gives 20242304000.

It is not an unprimeable number, because it can be changed into a prime (20242304009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48929 + ... + 207071.

Almost surely, 220242304000 is an apocalyptic number.

20242304000 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 20242304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25250219904).

20242304000 is an abundant number, since it is smaller than the sum of its proper divisors (30258135808).

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

20242304000 is an equidigital number, since it uses as much as digits as its factorization.

20242304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158178 (or 158150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 20242304000 its reverse (40324202), we get a palindrome (20282628202).

The spelling of 20242304000 in words is "twenty billion, two hundred forty-two million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2560 3200 4000 5120 6400 8000 12800 16000 25600 32000 64000 128000 158143 316286 632572 790715 1265144 1581430 2530288 3162860 3953575 5060576 6325720 7907150 10121152 12651440 15814300 19767875 20242304 25302880 31628600 39535750 40484608 50605760 63257200 79071500 80969216 101211520 126514400 158143000 161938432 202423040 253028800 316286000 404846080 506057600 632572000 809692160 1012115200 1265144000 2024230400 2530288000 4048460800 5060576000 10121152000 20242304000