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2022443140000 = 2554193523949
BaseRepresentation
bin11101011011100011000…
…000010100001110100000
321011100021112120111020111
4131123203000110032200
5231113430420440000
64145033023221104
7266055012022063
oct35334300241640
97140245514214
102022443140000
1170a793478078
12287b68147794
1311893c15077a
146dc5b4248da
153791d491cba
hex1d6e30143a0

2022443140000 has 120 divisors (see below), whose sum is σ = 5001302898900. Its totient is φ = 804784128000.

The previous prime is 2022443139947. The next prime is 2022443140001. The reversal of 2022443140000 is 413442202.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 991641539344 + 1030801600656 = 995812^2 + 1015284^2 .

It is not an unprimeable number, because it can be changed into a prime (2022443140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3598026 + ... + 4121974.

Almost surely, 22022443140000 is an apocalyptic number.

2022443140000 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 2022443140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500651449450).

2022443140000 is an abundant number, since it is smaller than the sum of its proper divisors (2978859758900).

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

2022443140000 is an equidigital number, since it uses as much as digits as its factorization.

2022443140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524172 (or 524149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2022443140000 its reverse (413442202), we get a palindrome (2022856582202).

The spelling of 2022443140000 in words is "two trillion, twenty-two billion, four hundred forty-three million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 193 200 250 386 400 500 625 772 800 965 1000 1250 1544 1930 2000 2500 3088 3860 4000 4825 5000 6176 7720 9650 10000 15440 19300 20000 24125 30880 38600 48250 77200 96500 120625 154400 193000 241250 386000 482500 523949 772000 965000 1047898 1930000 2095796 2619745 3860000 4191592 5239490 8383184 10478980 13098725 16766368 20957960 26197450 41915920 52394900 65493625 83831840 101122157 104789800 130987250 202244314 209579600 261974500 327468125 404488628 419159200 505610785 523949000 654936250 808977256 1011221570 1047898000 1309872500 1617954512 2022443140 2095796000 2528053925 2619745000 3235909024 4044886280 5056107850 5239490000 8089772560 10112215700 10478980000 12640269625 16179545120 20224431400 25280539250 40448862800 50561078500 63201348125 80897725600 101122157000 126402696250 202244314000 252805392500 404488628000 505610785000 1011221570000 2022443140000