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22434112340 = 2251773763241
BaseRepresentation
bin10100111001001011…
…010110001101010100
32010220110201222122122
4110321023112031110
5331421113043330
614150040515112
71422636544223
oct247113261524
963813658578
1022434112340
119572520712
12442117ba98
132166a782b3
14112b6a4cba
158b47ce5e5
hex5392d6354

22434112340 has 24 divisors (see below), whose sum is σ = 47115037032. Its totient is φ = 8972997120.

The previous prime is 22434112331. The next prime is 22434112369. The reversal of 22434112340 is 4321143422.

It can be written as a sum of positive squares in 4 ways, for example, as 3873319696 + 18560792644 = 62236^2 + 136238^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 323120 + ... + 386360.

It is an arithmetic number, because the mean of its divisors is an integer number (1963126543).

Almost surely, 222434112340 is an apocalyptic number.

22434112340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22434112340 is an abundant number, since it is smaller than the sum of its proper divisors (24680924692).

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

22434112340 is a wasteful number, since it uses less digits than its factorization.

22434112340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80987 (or 80985 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 22434112340 its reverse (4321143422), we get a palindrome (26755255762).

The spelling of 22434112340 in words is "twenty-two billion, four hundred thirty-four million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 17737 35474 63241 70948 88685 126482 177370 252964 316205 354740 632410 1264820 1121705617 2243411234 4486822468 5608528085 11217056170 22434112340