Search a number
-
+
422880640 = 27571353137
BaseRepresentation
bin11001001101001…
…010010110000000
31002110201120011221
4121031022112000
51331224140030
6105543444424
713323266110
oct3115122600
91073646157
10422880640
111a7783536
12b9756714
13697c2c40
144023d040
15271d2e7a
hex1934a580

422880640 has 256 divisors, whose sum is σ = 1276974720. Its totient is φ = 130351104.

The previous prime is 422880631. The next prime is 422880677. The reversal of 422880640 is 46088224.

It is a junction number, because it is equal to n+sod(n) for n = 422880596 and 422880605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3086652 + ... + 3086788.

Almost surely, 2422880640 is an apocalyptic number.

422880640 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 422880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638487360).

422880640 is an abundant number, since it is smaller than the sum of its proper divisors (854094080).

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

422880640 is a wasteful number, since it uses less digits than its factorization.

422880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 422880640 is about 20564.0618555771. The cubic root of 422880640 is about 750.5954619232.

The spelling of 422880640 in words is "four hundred twenty-two million, eight hundred eighty thousand, six hundred forty".