Search a number
-
+
452205234 = 233132712377
BaseRepresentation
bin11010111101000…
…001101010110010
31011111220101222000
4122331001222302
51411231031414
6112512154430
714130452415
oct3275015262
91144811860
10452205234
11212292538
12107538a16
13728bc680
14440b3b7c
1529a76b09
hex1af41ab2

452205234 has 64 divisors (see below), whose sum is σ = 1086650880. Its totient is φ = 138568320.

The previous prime is 452205227. The next prime is 452205239. The reversal of 452205234 is 432502254.

It is a happy number.

452205234 is a `hidden beast` number, since 452 + 205 + 2 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 452205198 and 452205207.

It is not an unprimeable number, because it can be changed into a prime (452205239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189054 + ... + 191430.

It is an arithmetic number, because the mean of its divisors is an integer number (16978920).

Almost surely, 2452205234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452205234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543325440).

452205234 is an abundant number, since it is smaller than the sum of its proper divisors (634445646).

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

452205234 is a wasteful number, since it uses less digits than its factorization.

452205234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2666 counting only the distinct ones).

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

The square root of 452205234 is about 21265.1177753616. The cubic root of 452205234 is about 767.5591647317.

Adding to 452205234 its reverse (432502254), we get a palindrome (884707488).

The spelling of 452205234 in words is "four hundred fifty-two million, two hundred five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 271 351 542 702 813 1626 2377 2439 3523 4754 4878 7046 7131 7317 10569 14262 14634 21138 21393 30901 31707 42786 61802 63414 64179 92703 95121 128358 185406 190242 278109 556218 644167 834327 1288334 1668654 1932501 3865002 5797503 8374171 11595006 16748342 17392509 25122513 34785018 50245026 75367539 150735078 226102617 452205234