Search a number
-
+
20024222004020 = 2251377016238477
BaseRepresentation
bin1001000110110010000001…
…01000111011001100110100
32121220022000110102210121202
410203121000220323030310
510111034101313112040
6110331000043432032
74134462613453253
oct443310050731464
977808013383552
1020024222004020
116420252322183
1222b49b3525618
13b2337859c9b0
144d326b16679a
1524ad215cb015
hex123640a3b334

20024222004020 has 24 divisors (see below), whose sum is σ = 45285548225064. Its totient is φ = 7393558893696.

The previous prime is 20024222003939. The next prime is 20024222004029. The reversal of 20024222004020 is 2040022242002.

It can be written as a sum of positive squares in 4 ways, for example, as 76868671504 + 19947353332516 = 277252^2 + 4466246^2 .

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 = 20024222003983 and 20024222004001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20024222004029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38508118979 + ... + 38508119498.

It is an arithmetic number, because the mean of its divisors is an integer number (1886897842711).

Almost surely, 220024222004020 is an apocalyptic number.

20024222004020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20024222004020 is an abundant number, since it is smaller than the sum of its proper divisors (25261326221044).

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

20024222004020 is a wasteful number, since it uses less digits than its factorization.

20024222004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77016238499 (or 77016238497 counting only the distinct ones).

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

Adding to 20024222004020 its reverse (2040022242002), we get a palindrome (22064244246022).

The spelling of 20024222004020 in words is "twenty trillion, twenty-four billion, two hundred twenty-two million, four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 77016238477 154032476954 308064953908 385081192385 770162384770 1001211100201 1540324769540 2002422200402 4004844400804 5006055501005 10012111002010 20024222004020