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422400330 = 2325111313257
BaseRepresentation
bin11001001011010…
…101000101001010
31002102211011022200
4121023111011022
51331113302310
6105525301030
713316225562
oct3113250512
91072734280
10422400330
111a7485690
12b9564776
1369685431
1440155da2
152713a9c0
hex192d514a

422400330 has 96 divisors (see below), whose sum is σ = 1207597248. Its totient is φ = 101587200.

The previous prime is 422400323. The next prime is 422400331. The reversal of 422400330 is 33004224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (422400331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 128062 + ... + 131318.

It is an arithmetic number, because the mean of its divisors is an integer number (12579138).

Almost surely, 2422400330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422400330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603798624).

422400330 is an abundant number, since it is smaller than the sum of its proper divisors (785196918).

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

422400330 is a wasteful number, since it uses less digits than its factorization.

422400330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 422400330 is about 20552.3801541330. The cubic root of 422400330 is about 750.3111775402.

Adding to 422400330 its reverse (33004224), we get a palindrome (455404554).

The spelling of 422400330 in words is "four hundred twenty-two million, four hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 131 165 198 262 330 393 495 655 786 990 1179 1310 1441 1965 2358 2882 3257 3930 4323 5895 6514 7205 8646 9771 11790 12969 14410 16285 19542 21615 25938 29313 32570 35827 43230 48855 58626 64845 71654 97710 107481 129690 146565 179135 214962 293130 322443 358270 426667 537405 644886 853334 1074810 1280001 1612215 2133335 2560002 3224430 3840003 4266670 4693337 6400005 7680006 9386674 12800010 14080011 19200015 23466685 28160022 38400030 42240033 46933370 70400055 84480066 140800110 211200165 422400330