Search a number
-
+
422040224 = 25412711187
BaseRepresentation
bin11001001001111…
…101001010100000
31002102010212100102
4121021331022200
51331020241344
6105513441532
713313165654
oct3111751240
91072125312
10422040224
111a725a081
12b94102a8
136958a558
14400a0a64
15270b8e4e
hex1927d2a0

422040224 has 48 divisors (see below), whose sum is σ = 855017856. Its totient is φ = 204940800.

The previous prime is 422040209. The next prime is 422040233.

422040224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422040196 and 422040205.

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 7 ways as a sum of consecutive naturals, for example, 354959 + ... + 356145.

It is an arithmetic number, because the mean of its divisors is an integer number (17812872).

Almost surely, 2422040224 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 422040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427508928).

422040224 is an abundant number, since it is smaller than the sum of its proper divisors (432977632).

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

422040224 is a wasteful number, since it uses less digits than its factorization.

422040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 422040224 is about 20543.6175976871. The cubic root of 422040224 is about 750.0978977393.

It can be divided in two parts, 4220 and 40224, that added together give a palindrome (44444).

The spelling of 422040224 in words is "four hundred twenty-two million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 271 328 542 656 1084 1187 1312 2168 2374 4336 4748 8672 9496 11111 18992 22222 37984 44444 48667 88888 97334 177776 194668 321677 355552 389336 643354 778672 1286708 1557344 2573416 5146832 10293664 13188757 26377514 52755028 105510056 211020112 422040224