Search a number
-
+
438234225 = 3521113291409
BaseRepresentation
bin11010000111101…
…110110001110001
31010112121121100020
4122013232301301
51344141443400
6111252514053
713600633542
oct3207566161
91115547306
10438234225
1120540a950
1210291b929
136ca3a4c0
14422b84c9
15287172a0
hex1a1eec71

438234225 has 96 divisors (see below), whose sum is σ = 881193600. Its totient is φ = 189235200.

The previous prime is 438234217. The next prime is 438234271. The reversal of 438234225 is 522432834.

It is not a de Polignac number, because 438234225 - 23 = 438234217 is a prime.

It is a super-2 number, since 2×4382342252 = 384098471922701250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310321 + ... + 311729.

It is an arithmetic number, because the mean of its divisors is an integer number (9179100).

It is the magic constant of a 957 × 957 magic square.

Almost surely, 2438234225 is an apocalyptic number.

It is an amenable number.

438234225 is an abundant number, since it is smaller than the sum of its proper divisors (442959375).

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

438234225 is a wasteful number, since it uses less digits than its factorization.

438234225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1470 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 438234225 is about 20934.0446402505. The cubic root of 438234225 is about 759.5716798211.

The spelling of 438234225 in words is "four hundred thirty-eight million, two hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 29 33 39 55 65 75 87 143 145 165 195 275 319 325 377 429 435 715 725 825 957 975 1131 1409 1595 1885 2145 2175 3575 4147 4227 4785 5655 7045 7975 9425 10725 12441 15499 18317 20735 21135 23925 28275 35225 40861 46497 54951 62205 77495 91585 103675 105675 122583 201487 204305 232485 274755 311025 387475 449471 457925 531193 604461 612915 1007435 1021525 1162425 1348413 1373775 1593579 2247355 2655965 3022305 3064575 5037175 5843123 6742065 7967895 11236775 13279825 15111525 17529369 29215615 33710325 39839475 87646845 146078075 438234225