Search a number
-
+
452226324 = 2231114922993
BaseRepresentation
bin11010111101000…
…110110100010100
31011111221110220010
4122331012310110
51411232220244
6112512440220
714130601044
oct3275066424
91144843803
10452226324
112122a7370
12107549070
13728c9154
14440bb724
1529a7ceb9
hex1af46d14

452226324 has 48 divisors (see below), whose sum is σ = 1158897600. Its totient is φ = 136112640.

The previous prime is 452226323. The next prime is 452226329. The reversal of 452226324 is 423622254.

It is a junction number, because it is equal to n+sod(n) for n = 452226291 and 452226300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452226323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8172 + ... + 31164.

It is an arithmetic number, because the mean of its divisors is an integer number (24143700).

Almost surely, 2452226324 is an apocalyptic number.

452226324 is a gapful number since it is divisible by the number (44) 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 452226324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579448800).

452226324 is an abundant number, since it is smaller than the sum of its proper divisors (706671276).

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

452226324 is a wasteful number, since it uses less digits than its factorization.

452226324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23160 (or 23158 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 452226324 is about 21265.6136520910. The cubic root of 452226324 is about 767.5710970506.

Adding to 452226324 its reverse (423622254), we get a palindrome (875848578).

The spelling of 452226324 in words is "four hundred fifty-two million, two hundred twenty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 3278 4917 6556 9834 19668 22993 45986 68979 91972 137958 252923 275916 505846 758769 1011692 1517538 3035076 3425957 6851914 10277871 13703828 20555742 37685527 41111484 75371054 113056581 150742108 226113162 452226324