Search a number
-
+
422009352 = 23362692
BaseRepresentation
bin11001001001110…
…101101000001000
31002102002022000000
4121021311220020
51331013244402
6105513043000
713313006652
oct3111655010
91072068000
10422009352
111a7238966
12b93b6460
136957949b
14400936d2
15270aec1c
hex19275a08

422009352 has 84 divisors (see below), whose sum is σ = 1190785245. Its totient is φ = 140146848.

The previous prime is 422009339. The next prime is 422009369. The reversal of 422009352 is 253900224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 315630756 + 106378596 = 17766^2 + 10314^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14526.

It is a super-3 number, since 3×4220093523 (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1568674 + ... + 1568942.

Almost surely, 2422009352 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 422009352

422009352 is an abundant number, since it is smaller than the sum of its proper divisors (768775893).

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

422009352 is an frugal number, since it uses more digits than its factorization.

422009352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 422009352 is about 20542.8662070316. The cubic root of 422009352 is about 750.0796075499.

Adding to 422009352 its reverse (253900224), we get a palindrome (675909576).

The spelling of 422009352 in words is "four hundred twenty-two million, nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 269 324 486 538 648 729 807 972 1076 1458 1614 1944 2152 2421 2916 3228 4842 5832 6456 7263 9684 14526 19368 21789 29052 43578 58104 65367 72361 87156 130734 144722 174312 196101 217083 261468 289444 392202 434166 522936 578888 651249 784404 868332 1302498 1568808 1736664 1953747 2604996 3907494 5209992 5861241 7814988 11722482 15629976 17583723 23444964 35167446 46889928 52751169 70334892 105502338 140669784 211004676 422009352