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422525000 = 235516901
BaseRepresentation
bin11001001011110…
…011100001001000
31002110001111100002
4121023303201020
51331131300000
6105532102132
713320255212
oct3113634110
91073044302
10422525000
111a7560317
12b9604948
13696ca0c1
14401895b2
15271628d5
hex192f3848

422525000 has 48 divisors (see below), whose sum is σ = 990288180. Its totient is φ = 169000000.

The previous prime is 422524961. The next prime is 422525023. The reversal of 422525000 is 525224.

It can be written as a sum of positive squares in 6 ways, for example, as 386884 + 422138116 = 622^2 + 20546^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 16550 + ... + 33450.

Almost surely, 2422525000 is an apocalyptic number.

422525000 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 422525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495144090).

422525000 is an abundant number, since it is smaller than the sum of its proper divisors (567763180).

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

422525000 is an equidigital number, since it uses as much as digits as its factorization.

422525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16932 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 422525000 is about 20555.4129124180. The cubic root of 422525000 is about 750.3849875308.

The spelling of 422525000 in words is "four hundred twenty-two million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 16901 25000 33802 67604 84505 135208 169010 338020 422525 676040 845050 1690100 2112625 3380200 4225250 8450500 10563125 16901000 21126250 42252500 52815625 84505000 105631250 211262500 422525000