Search a number
-
+
422442468 = 223273745307
BaseRepresentation
bin11001001011011…
…111010111100100
31002102220022010100
4121023133113210
51331121124333
6105530224100
713316462460
oct3113372744
91072808110
10422442468
111a7504308
12b9585030
136969b676
14401674a0
1527148213
hex192df5e4

422442468 has 72 divisors (see below), whose sum is σ = 1253400512. Its totient is φ = 117433152.

The previous prime is 422442457. The next prime is 422442473. The reversal of 422442468 is 864244224.

It is a happy number.

422442468 is a `hidden beast` number, since 4 + 224 + 424 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13330 + ... + 31977.

Almost surely, 2422442468 is an apocalyptic number.

It is an amenable number.

422442468 is an abundant number, since it is smaller than the sum of its proper divisors (830958044).

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

422442468 is a wasteful number, since it uses less digits than its factorization.

422442468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45361 (or 45356 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 422442468 is about 20553.4052653082. The cubic root of 422442468 is about 750.3361266693.

The spelling of 422442468 in words is "four hundred twenty-two million, four hundred forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 45307 90614 135921 181228 271842 317149 407763 543684 634298 815526 951447 1268596 1631052 1676359 1902894 2854341 3352718 3805788 5029077 5708682 6705436 10058154 11417364 11734513 15087231 20116308 23469026 30174462 35203539 46938052 60348924 70407078 105610617 140814156 211221234 422442468