Search a number
-
+
422330000 = 2454157269
BaseRepresentation
bin11001001011000…
…011111010010000
31002102200120211212
4121023003322100
51331104030000
6105523555252
713315513541
oct3113037220
91072616755
10422330000
111a7437864
12b952bb28
136965c411
14401384c8
1527124c35
hex192c3e90

422330000 has 100 divisors (see below), whose sum is σ = 1032841260. Its totient is φ = 167232000.

The previous prime is 422329993. The next prime is 422330003. The reversal of 422330000 is 33224.

It can be written as a sum of positive squares in 10 ways, for example, as 415018384 + 7311616 = 20372^2 + 2704^2 .

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

It is not an unprimeable number, because it can be changed into a prime (422330003) 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 19 ways as a sum of consecutive naturals, for example, 1569866 + ... + 1570134.

Almost surely, 2422330000 is an apocalyptic number.

422330000 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 422330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516420630).

422330000 is an abundant number, since it is smaller than the sum of its proper divisors (610511260).

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

422330000 is a wasteful number, since it uses less digits than its factorization.

422330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 422330000 is about 20550.6690888642. The cubic root of 422330000 is about 750.2695327542.

Adding to 422330000 its reverse (33224), we get a palindrome (422363224).

The spelling of 422330000 in words is "four hundred twenty-two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 200 250 269 314 400 500 538 625 628 785 1000 1076 1250 1256 1345 1570 2000 2152 2500 2512 2690 3140 3925 4304 5000 5380 6280 6725 7850 10000 10760 12560 13450 15700 19625 21520 26900 31400 33625 39250 42233 53800 62800 67250 78500 84466 98125 107600 134500 157000 168125 168932 196250 211165 269000 314000 336250 337864 392500 422330 538000 672500 675728 785000 844660 1055825 1345000 1570000 1689320 2111650 2690000 3378640 4223300 5279125 8446600 10558250 16893200 21116500 26395625 42233000 52791250 84466000 105582500 211165000 422330000