Search a number
-
+
422054523 = 331137193199
BaseRepresentation
bin11001001010000…
…000101001111011
31002102011120222000
4121022000221323
51331021221043
6105514032043
713313255442
oct3112005173
91072146860
10422054523
111a72698a0
12b9418623
1369593c07
14400a5d59
15270bd2d3
hex19280a7b

422054523 has 64 divisors (see below), whose sum is σ = 707712000. Its totient is φ = 246343680.

The previous prime is 422054489. The next prime is 422054527. The reversal of 422054523 is 325450224.

It is a happy number.

422054523 is a `hidden beast` number, since 4 + 2 + 205 + 452 + 3 = 666.

It is not a de Polignac number, because 422054523 - 28 = 422054267 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (422054527) 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 63 ways as a sum of consecutive naturals, for example, 2120778 + ... + 2120976.

It is an arithmetic number, because the mean of its divisors is an integer number (11058000).

Almost surely, 2422054523 is an apocalyptic number.

422054523 is a deficient number, since it is larger than the sum of its proper divisors (285657477).

422054523 is a wasteful number, since it uses less digits than its factorization.

422054523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 422054523 is about 20543.9656103684. The cubic root of 422054523 is about 750.1063689135.

The spelling of 422054523 in words is "four hundred twenty-two million, fifty-four thousand, five hundred twenty-three".

Divisors: 1 3 9 11 27 33 37 99 111 193 199 297 333 407 579 597 999 1221 1737 1791 2123 2189 3663 5211 5373 6369 6567 7141 7363 10989 19107 19701 21423 22089 38407 57321 59103 64269 66267 78551 80993 115221 192807 198801 235653 242979 345663 422477 706959 728937 1036989 1267431 1421059 2120877 2186811 3802293 4263177 11406879 12789531 15631649 38368593 46894947 140684841 422054523