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422442405 = 33571140639
BaseRepresentation
bin11001001011011…
…111010110100101
31002102220022001000
4121023133112211
51331121124110
6105530223513
713316462340
oct3113372645
91072808030
10422442405
111a7504260
12b9584b99
136969b628
1440167457
15271481c0
hex192df5a5

422442405 has 64 divisors (see below), whose sum is σ = 936345600. Its totient is φ = 175556160.

The previous prime is 422442379. The next prime is 422442407. The reversal of 422442405 is 504244224.

It is not a de Polignac number, because 422442405 - 26 = 422442341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422442407) 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 63 ways as a sum of consecutive naturals, for example, 9925 + ... + 30714.

It is an arithmetic number, because the mean of its divisors is an integer number (14630400).

Almost surely, 2422442405 is an apocalyptic number.

422442405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422442405 is an abundant number, since it is smaller than the sum of its proper divisors (513903195).

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

422442405 is a wasteful number, since it uses less digits than its factorization.

422442405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40671 (or 40665 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 422442405 is about 20553.4037327154. The cubic root of 422442405 is about 750.3360893694.

Adding to 422442405 its reverse (504244224), we get a palindrome (926686629).

The spelling of 422442405 in words is "four hundred twenty-two million, four hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 3465 10395 40639 121917 203195 284473 365751 447029 609585 853419 1097253 1341087 1422365 1828755 2235145 2560257 3129203 4023261 4267095 5486265 6705435 7680771 9387609 12069783 12801285 15646015 20116305 28162827 38403855 46938045 60348915 84488481 140814135 422442405