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422697312 = 25332389239
BaseRepresentation
bin11001001100011…
…101100101100000
31002110101020201000
4121030131211200
51331202303222
6105535512000
713321603452
oct3114354540
91073336630
10422697312
111a7668824
12b9688600
136975a66b
14401d22d2
15271989ac
hex1931d960

422697312 has 192 divisors, whose sum is σ = 1306368000. Its totient is φ = 132701184.

The previous prime is 422697311. The next prime is 422697323. The reversal of 422697312 is 213796224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422697311) 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 31 ways as a sum of consecutive naturals, for example, 1768489 + ... + 1768727.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2422697312 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 422697312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

422697312 is an abundant number, since it is smaller than the sum of its proper divisors (883670688).

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

422697312 is a wasteful number, since it uses less digits than its factorization.

422697312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 422697312 is about 20559.6038872348. The cubic root of 422697312 is about 750.4869797326.

The spelling of 422697312 in words is "four hundred twenty-two million, six hundred ninety-seven thousand, three hundred twelve".