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2023202320 = 24526219649
BaseRepresentation
bin111100010010111…
…1001111000010000
312020000000022211021
41320211321320100
513120414433240
6532432125224
7101064636016
oct17045717020
95200008737
102023202320
11949054937
12485696814
1326320c249
141529b88b6
15bc94754a
hex78979e10

2023202320 has 40 divisors (see below), whose sum is σ = 4706227800. Its totient is φ = 808888320.

The previous prime is 2023202309. The next prime is 2023202333. The reversal of 2023202320 is 232023202.

It can be written as a sum of positive squares in 4 ways, for example, as 145540096 + 1877662224 = 12064^2 + 43332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2023202294 and 2023202303.

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, 204856 + ... + 214504.

It is an arithmetic number, because the mean of its divisors is an integer number (117655695).

Almost surely, 22023202320 is an apocalyptic number.

2023202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023202320 is an abundant number, since it is smaller than the sum of its proper divisors (2683025480).

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

2023202320 is a wasteful number, since it uses less digits than its factorization.

2023202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12283 (or 12277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2023202320 is about 44980.0213428140. The cubic root of 2023202320 is about 1264.7745113040.

Adding to 2023202320 its reverse (232023202), we get a palindrome (2255225522).

The spelling of 2023202320 in words is "two billion, twenty-three million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2621 5242 9649 10484 13105 19298 20968 26210 38596 41936 48245 52420 77192 96490 104840 154384 192980 209680 385960 771920 25290029 50580058 101160116 126450145 202320232 252900290 404640464 505800580 1011601160 2023202320