Search a number
-
+
422331104 = 25133132749
BaseRepresentation
bin11001001011000…
…100001011100000
31002102200122100202
4121023010023200
51331104043404
6105524004332
713315520006
oct3113041340
91072618322
10422331104
111a7438678
12b95306a8
136965ca80
1440138a76
152712521e
hex192c42e0

422331104 has 48 divisors (see below), whose sum is σ = 924336000. Its totient is φ = 188628480.

The previous prime is 422331103. The next prime is 422331127. The reversal of 422331104 is 401133224.

It is a super-2 number, since 2×4223311042 = 356727122811717632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422331103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3479 + ... + 29270.

It is an arithmetic number, because the mean of its divisors is an integer number (19257000).

Almost surely, 2422331104 is an apocalyptic number.

It is an amenable number.

422331104 is an abundant number, since it is smaller than the sum of its proper divisors (502004896).

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

422331104 is a wasteful number, since it uses less digits than its factorization.

422331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32803 (or 32795 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 422331104 is about 20550.6959492860. The cubic root of 422331104 is about 750.2701865058.

Adding to 422331104 its reverse (401133224), we get a palindrome (823464328).

The spelling of 422331104 in words is "four hundred twenty-two million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 12896 32749 65498 130996 261992 425737 523984 851474 1015219 1047968 1702948 2030438 3405896 4060876 6811792 8121752 13197847 13623584 16243504 26395694 32487008 52791388 105582776 211165552 422331104