Search a number
-
+
422234424 = 23332777057
BaseRepresentation
bin11001001010101…
…100100100111000
31002102111201202000
4121022230210320
51331043000144
6105521541000
713314635103
oct3112544470
91072451660
10422234424
111a7381a77
12b94a4760
1369627a71
144011173a
1527106769
hex192ac938

422234424 has 64 divisors (see below), whose sum is σ = 1177274400. Its totient is φ = 140216832.

The previous prime is 422234401. The next prime is 422234443. The reversal of 422234424 is 424432224.

422234424 is a `hidden beast` number, since 4 + 2 + 2 + 234 + 424 = 666.

It is a super-2 number, since 2×4222344242 = 356563817621223552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 56304 + ... + 63360.

Almost surely, 2422234424 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 422234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588637200).

422234424 is an abundant number, since it is smaller than the sum of its proper divisors (755039976).

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

422234424 is a wasteful number, since it uses less digits than its factorization.

422234424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7349 (or 7339 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 422234424 is about 20548.3435828779. The cubic root of 422234424 is about 750.2129315412.

Adding to 422234424 its reverse (424432224), we get a palindrome (846666648).

The spelling of 422234424 in words is "four hundred twenty-two million, two hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 277 554 831 1108 1662 2216 2493 3324 4986 6648 7057 7479 9972 14114 14958 19944 21171 28228 29916 42342 56456 59832 63513 84684 127026 169368 190539 254052 381078 508104 762156 1524312 1954789 3909578 5864367 7819156 11728734 15638312 17593101 23457468 35186202 46914936 52779303 70372404 105558606 140744808 211117212 422234424