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422132200 = 23527614943
BaseRepresentation
bin11001001010010…
…011100111101000
31002102022112111221
4121022103213220
51331031212300
6105515431424
713314031060
oct3112234750
91072275457
10422132200
111a7312196
12b9455574
13695c0389
14400c63a0
15270d631a
hex192939e8

422132200 has 96 divisors (see below), whose sum is σ = 1140284160. Its totient is φ = 142329600.

The previous prime is 422132167. The next prime is 422132201. The reversal of 422132200 is 2231224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422132201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82929 + ... + 87871.

It is an arithmetic number, because the mean of its divisors is an integer number (11877960).

Almost surely, 2422132200 is an apocalyptic number.

422132200 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 422132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570142080).

422132200 is an abundant number, since it is smaller than the sum of its proper divisors (718151960).

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

422132200 is a wasteful number, since it uses less digits than its factorization.

422132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 422132200 is about 20545.8560298665. The cubic root of 422132200 is about 750.1523838516.

Adding to 422132200 its reverse (2231224), we get a palindrome (424363424).

The spelling of 422132200 in words is "four hundred twenty-two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 61 70 100 122 140 175 200 244 280 305 350 427 488 610 700 854 1220 1400 1525 1708 2135 2440 3050 3416 4270 4943 6100 8540 9886 10675 12200 17080 19772 21350 24715 34601 39544 42700 49430 69202 85400 98860 123575 138404 173005 197720 247150 276808 301523 346010 494300 603046 692020 865025 988600 1206092 1384040 1507615 1730050 2110661 2412184 3015230 3460100 4221322 6030460 6920200 7538075 8442644 10553305 12060920 15076150 16885288 21106610 30152300 42213220 52766525 60304600 84426440 105533050 211066100 422132200