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2023324500 = 223531518933
BaseRepresentation
bin111100010011001…
…0111101101010100
312020000020112102110
41320212113231110
513120432341000
6532434511020
7101065655151
oct17046275524
95200215373
102023324500
1194912870a
12485735470
13263252a42
14152a0b228
15bc96d850
hex78997b54

2023324500 has 96 divisors (see below), whose sum is σ = 5931604224. Its totient is φ = 535920000.

The previous prime is 2023324489. The next prime is 2023324507. The reversal of 2023324500 is 54233202.

2023324500 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023324507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222034 + ... + 230966.

It is an arithmetic number, because the mean of its divisors is an integer number (61787544).

Almost surely, 22023324500 is an apocalyptic number.

2023324500 is a gapful number since it is divisible by the number (20) 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 2023324500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965802112).

2023324500 is an abundant number, since it is smaller than the sum of its proper divisors (3908279724).

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

2023324500 is a wasteful number, since it uses less digits than its factorization.

2023324500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9106 (or 9094 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2023324500 is about 44981.3794808474. The cubic root of 2023324500 is about 1264.7999704548.

Adding to 2023324500 its reverse (54233202), we get a palindrome (2077557702).

The spelling of 2023324500 in words is "two billion, twenty-three million, three hundred twenty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 151 250 300 302 375 453 500 604 750 755 906 1500 1510 1812 2265 3020 3775 4530 7550 8933 9060 11325 15100 17866 18875 22650 26799 35732 37750 44665 45300 53598 56625 75500 89330 107196 113250 133995 178660 223325 226500 267990 446650 535980 669975 893300 1116625 1339950 1348883 2233250 2679900 2697766 3349875 4046649 4466500 5395532 6699750 6744415 8093298 13399500 13488830 16186596 20233245 26977660 33722075 40466490 67444150 80932980 101166225 134888300 168610375 202332450 337220750 404664900 505831125 674441500 1011662250 2023324500