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422270848 = 2722714533
BaseRepresentation
bin11001001010110…
…101011110000000
31002102120120201001
4121022311132000
51331100131343
6105522421344
713315146226
oct3112653600
91072516631
10422270848
111a73a737a
12b9501854
136963b50c
1440120b16
152711244d
hex192b5780

422270848 has 32 divisors (see below), whose sum is σ = 845006760. Its totient is φ = 210190848.

The previous prime is 422270843. The next prime is 422270887. The reversal of 422270848 is 848072224.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422270843) 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 3 ways as a sum of consecutive naturals, for example, 21790 + ... + 36322.

Almost surely, 2422270848 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 422270848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422503380).

422270848 is an abundant number, since it is smaller than the sum of its proper divisors (422735912).

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

422270848 is a wasteful number, since it uses less digits than its factorization.

422270848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14774 (or 14762 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 422270848 is about 20549.2298639146. The cubic root of 422270848 is about 750.2345032626.

The spelling of 422270848 in words is "four hundred twenty-two million, two hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 227 454 908 1816 3632 7264 14528 14533 29056 29066 58132 116264 232528 465056 930112 1860224 3298991 6597982 13195964 26391928 52783856 105567712 211135424 422270848