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422238200 = 23521032199
BaseRepresentation
bin11001001010101…
…101011111111000
31002102111220220212
4121022231133320
51331043110300
6105522010252
713314652106
oct3112553770
91072456825
10422238200
111a738489a
12b94a6988
13696296b7
1440112c76
1527107935
hex192ad7f8

422238200 has 72 divisors (see below), whose sum is σ = 996309000. Its totient is φ = 166415040.

The previous prime is 422238151. The next prime is 422238233. The reversal of 422238200 is 2832224.

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 17 ways as a sum of consecutive naturals, for example, 2121701 + ... + 2121899.

It is an arithmetic number, because the mean of its divisors is an integer number (13837625).

Almost surely, 2422238200 is an apocalyptic number.

422238200 is a gapful number since it is divisible by the number (40) 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 422238200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498154500).

422238200 is an abundant number, since it is smaller than the sum of its proper divisors (574070800).

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

422238200 is a wasteful number, since it uses less digits than its factorization.

422238200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 422238200 is about 20548.4354635578. The cubic root of 422238200 is about 750.2151678941.

The spelling of 422238200 in words is "four hundred twenty-two million, two hundred thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 199 200 206 398 412 515 796 824 995 1030 1592 1990 2060 2575 3980 4120 4975 5150 7960 9950 10300 10609 19900 20497 20600 21218 39800 40994 42436 53045 81988 84872 102485 106090 163976 204970 212180 265225 409940 424360 512425 530450 819880 1024850 1060900 2049700 2111191 2121800 4099400 4222382 8444764 10555955 16889528 21111910 42223820 52779775 84447640 105559550 211119100 422238200