Search a number
-
+
20422320240 = 24357194314879
BaseRepresentation
bin10011000001010000…
…111110000001110000
31221201021012100201010
4103001100332001300
5313311103221430
613214253110520
71322040600150
oct230120760160
957637170633
1020422320240
11872a95a513
123b5b488440
131c0603277a
14dba41a760
157e7d8ccb0
hex4c143e070

20422320240 has 320 divisors, whose sum is σ = 77937868800. Its totient is φ = 4319142912.

The previous prime is 20422320209. The next prime is 20422320253. The reversal of 20422320240 is 4202322402.

It is a super-2 number, since 2×204223202402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1365121 + ... + 1379999.

It is an arithmetic number, because the mean of its divisors is an integer number (243555840).

Almost surely, 220422320240 is an apocalyptic number.

20422320240 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 20422320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38968934400).

20422320240 is an abundant number, since it is smaller than the sum of its proper divisors (57515548560).

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

20422320240 is a wasteful number, since it uses less digits than its factorization.

20422320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14964 (or 14958 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 20422320240 its reverse (4202322402), we get a palindrome (24624642642).

The spelling of 20422320240 in words is "twenty billion, four hundred twenty-two million, three hundred twenty thousand, two hundred forty".