Search a number
-
+
452220320 = 25522712451
BaseRepresentation
bin11010111101000…
…101010110100000
31011111221011122202
4122331011112200
51411232022240
6112512352332
714130544406
oct3275052640
91144834582
10452220320
112122a2902
121075456a8
13728c64b6
14440b9476
1529a7b315
hex1af455a0

452220320 has 48 divisors (see below), whose sum is σ = 1073163168. Its totient is φ = 180076800.

The previous prime is 452220317. The next prime is 452220337. The reversal of 452220320 is 23022254.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 452220292 and 452220301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30095 + ... + 42545.

It is an arithmetic number, because the mean of its divisors is an integer number (22357566).

Almost surely, 2452220320 is an apocalyptic number.

452220320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536581584).

452220320 is an abundant number, since it is smaller than the sum of its proper divisors (620942848).

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

452220320 is a wasteful number, since it uses less digits than its factorization.

452220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12693 (or 12685 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 452220320 is about 21265.4724847580. The cubic root of 452220320 is about 767.5677001399.

Adding to 452220320 its reverse (23022254), we get a palindrome (475242574).

It can be divided in two parts, 4522 and 20320, that added together give a palindrome (24842).

The spelling of 452220320 in words is "four hundred fifty-two million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 454 908 1135 1816 2270 3632 4540 7264 9080 12451 18160 24902 36320 49804 62255 99608 124510 199216 249020 398432 498040 996080 1992160 2826377 5652754 11305508 14131885 22611016 28263770 45222032 56527540 90444064 113055080 226110160 452220320