Search a number
-
+
422210000 = 245442221
BaseRepresentation
bin11001001010100…
…110100111010000
31002102110111020102
4121022212213100
51331041210000
6105521231532
713314503642
oct3112464720
91072414212
10422210000
111a7365693
12b94925a8
1369619904
1440106892
15270ee3d5
hex192a69d0

422210000 has 50 divisors (see below), whose sum is σ = 1022236842. Its totient is φ = 168880000.

The previous prime is 422209999. The next prime is 422210003. The reversal of 422210000 is 12224.

It can be written as a sum of positive squares in 5 ways, for example, as 50183056 + 372026944 = 7084^2 + 19288^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×4222100002 = 356522568200000000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422210003) 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 9 ways as a sum of consecutive naturals, for example, 11111 + ... + 31110.

Almost surely, 2422210000 is an apocalyptic number.

422210000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422210000 is an abundant number, since it is smaller than the sum of its proper divisors (600026842).

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

422210000 is an equidigital number, since it uses as much as digits as its factorization.

422210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42249 (or 42228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 422210000 is about 20547.7492684722. The cubic root of 422210000 is about 750.1984659956.

Adding to 422210000 its reverse (12224), we get a palindrome (422222224).

The spelling of 422210000 in words is "four hundred twenty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 42221 84442 168884 211105 337768 422210 675536 844420 1055525 1688840 2111050 3377680 4222100 5277625 8444200 10555250 16888400 21110500 26388125 42221000 52776250 84442000 105552500 211105000 422210000