Search a number
-
+
20431222370 = 25131713767481
BaseRepresentation
bin10011000001110010…
…111011011001100010
31221201212221122010122
4103001302323121202
5313320343103440
613215212000242
71322206344656
oct230162733142
957655848118
1020431222370
11873498a849
123b62460082
131c07b2b6c0
14dbb696a66
157e8a4a7b5
hex4c1cbb662

20431222370 has 64 divisors (see below), whose sum is σ = 42241572576. Its totient is φ = 7048151040.

The previous prime is 20431222351. The next prime is 20431222379. The reversal of 20431222370 is 7322213402.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7164098881 + 13267123489 = 84641^2 + 115183^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (20431222379) 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 31 ways as a sum of consecutive naturals, for example, 269030 + ... + 336510.

Almost surely, 220431222370 is an apocalyptic number.

20431222370 is an abundant number, since it is smaller than the sum of its proper divisors (21810350206).

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

20431222370 is a wasteful number, since it uses less digits than its factorization.

20431222370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67655.

The product of its (nonzero) digits is 4032, while the sum is 26.

Adding to 20431222370 its reverse (7322213402), we get a palindrome (27753435772).

The spelling of 20431222370 in words is "twenty billion, four hundred thirty-one million, two hundred twenty-two thousand, three hundred seventy".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 137 170 221 274 442 685 1105 1370 1781 2210 2329 3562 4658 8905 11645 17810 23290 30277 60554 67481 134962 151385 302770 337405 674810 877253 1147177 1754506 2294354 4386265 5735885 8772530 9244897 11471770 14913301 18489794 29826602 46224485 74566505 92448970 120183661 149133010 157163249 240367322 314326498 600918305 785816245 1201836610 1571632490 2043122237 4086244474 10215611185 20431222370