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422430000 = 2435414081
BaseRepresentation
bin11001001011011…
…100010100110000
31002102212200000120
4121023130110300
51331120230000
6105530050240
713316411226
oct3113342460
91072780016
10422430000
111a74a5a03
12b9579980
1369695aa5
1440162b16
15271446a0
hex192dc530

422430000 has 100 divisors (see below), whose sum is σ = 1363757208. Its totient is φ = 112640000.

The previous prime is 422429971. The next prime is 422430061. The reversal of 422430000 is 34224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 22960 + ... + 37040.

Almost surely, 2422430000 is an apocalyptic number.

422430000 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 422430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681878604).

422430000 is an abundant number, since it is smaller than the sum of its proper divisors (941327208).

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

422430000 is a wasteful number, since it uses less digits than its factorization.

422430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 422430000 is about 20553.1019556660. The cubic root of 422430000 is about 750.3287447703.

Adding to 422430000 its reverse (34224), we get a palindrome (422464224).

The spelling of 422430000 in words is "four hundred twenty-two million, four hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 14081 15000 28162 30000 42243 56324 70405 84486 112648 140810 168972 211215 225296 281620 337944 352025 422430 563240 675888 704050 844860 1056075 1126480 1408100 1689720 1760125 2112150 2816200 3379440 3520250 4224300 5280375 5632400 7040500 8448600 8800625 10560750 14081000 16897200 17601250 21121500 26401875 28162000 35202500 42243000 52803750 70405000 84486000 105607500 140810000 211215000 422430000