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20422231144 = 2374320634111
BaseRepresentation
bin10011000001010000…
…101000010001101000
31221201021000211111021
4103001100220101220
5313311042344034
613214251142224
71322040046330
oct230120502150
957637024437
1020422231144
11872a8a9587
123b5b444974
131c06001053
14dba3d60c0
157e7d716b4
hex4c1428468

20422231144 has 64 divisors (see below), whose sum is σ = 44812247040. Its totient is φ = 8542618560.

The previous prime is 20422231069. The next prime is 20422231153. The reversal of 20422231144 is 44113222402.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4965649 + ... + 4969759.

It is an arithmetic number, because the mean of its divisors is an integer number (700191360).

Almost surely, 220422231144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20422231144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22406123520).

20422231144 is an abundant number, since it is smaller than the sum of its proper divisors (24390015896).

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

20422231144 is a wasteful number, since it uses less digits than its factorization.

20422231144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6230 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 20422231144 its reverse (44113222402), we get a palindrome (64535453546).

The spelling of 20422231144 in words is "twenty billion, four hundred twenty-two million, two hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2063 2408 4111 4126 8222 8252 14441 16444 16504 28777 28882 32888 57554 57764 88709 115108 115528 176773 177418 230216 353546 354836 620963 707092 709672 1237411 1241926 1414184 2474822 2483852 4949644 4967704 8480993 9899288 16961986 33923972 59366951 67847944 118733902 237467804 364682699 474935608 729365398 1458730796 2552778893 2917461592 5105557786 10211115572 20422231144