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422812304 = 24171579901
BaseRepresentation
bin11001001100111…
…001101010010000
31002110121002102222
4121030321222100
51331214443204
6105542200212
713322562635
oct3114715220
91073532388
10422812304
111a7737162
12b9723068
136979aac5
144022218c
15271bcabe
hex19339a90

422812304 has 40 divisors (see below), whose sum is σ = 872999928. Its totient is φ = 197683200.

The previous prime is 422812297. The next prime is 422812309. The reversal of 422812304 is 403218224.

It can be written as a sum of positive squares in 4 ways, for example, as 186267904 + 236544400 = 13648^2 + 15380^2 .

It is not an unprimeable number, because it can be changed into a prime (422812309) 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 7 ways as a sum of consecutive naturals, for example, 37754 + ... + 47654.

Almost surely, 2422812304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422812304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436499964).

422812304 is an abundant number, since it is smaller than the sum of its proper divisors (450187624).

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

422812304 is a wasteful number, since it uses less digits than its factorization.

422812304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083 (or 10077 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 422812304 is about 20562.4002489982. The cubic root of 422812304 is about 750.5550285638. Note that the first 3 decimals are identical.

The spelling of 422812304 in words is "four hundred twenty-two million, eight hundred twelve thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 157 272 314 628 1256 2512 2669 5338 9901 10676 19802 21352 39604 42704 79208 158416 168317 336634 673268 1346536 1554457 2693072 3108914 6217828 12435656 24871312 26425769 52851538 105703076 211406152 422812304