Search a number
-
+
442135226 = 213412411721
BaseRepresentation
bin11010010110100…
…111001010111010
31010210221210111202
4122112213022322
51401141311401
6111512254202
713646041661
oct3226471272
91123853452
10442135226
11207634815
121040a1362
13707a4ca0
1442a11dd8
1528c3806b
hex1a5a72ba

442135226 has 32 divisors (see below), whose sum is σ = 735101136. Its totient is φ = 198144000.

The previous prime is 442135223. The next prime is 442135229. The reversal of 442135226 is 622531244.

It is an interprime number because it is at equal distance from previous prime (442135223) and next prime (442135229).

It can be written as a sum of positive squares in 8 ways, for example, as 126540001 + 315595225 = 11249^2 + 17765^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (442135223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256046 + ... + 257766.

Almost surely, 2442135226 is an apocalyptic number.

442135226 is a deficient number, since it is larger than the sum of its proper divisors (292965910).

442135226 is a wasteful number, since it uses less digits than its factorization.

442135226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018.

The product of its digits is 11520, while the sum is 29.

The square root of 442135226 is about 21027.0118181353. The cubic root of 442135226 is about 761.8188350508.

The spelling of 442135226 in words is "four hundred forty-two million, one hundred thirty-five thousand, two hundred twenty-six".

Divisors: 1 2 13 26 41 82 241 482 533 1066 1721 3133 3442 6266 9881 19762 22373 44746 70561 128453 141122 256906 414761 829522 917293 1834586 5391893 10783786 17005201 34010402 221067613 442135226