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20230204300 = 22522319146051
BaseRepresentation
bin10010110101110100…
…000110101110001100
31221012212200212011221
4102311310012232030
5312412413014200
613143231253124
71314215620315
oct226564065614
957185625157
1020230204300
118641471a09
123b0707a1a4
131ba52a8bb7
14d9cacb60c
157d608e91a
hex4b5d06b8c

20230204300 has 72 divisors (see below), whose sum is σ = 46049052672. Its totient is φ = 7699560000.

The previous prime is 20230204271. The next prime is 20230204301. The reversal of 20230204300 is 340203202.

It is a super-2 number, since 2×202302043002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20230204301) 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 23 ways as a sum of consecutive naturals, for example, 416275 + ... + 462325.

It is an arithmetic number, because the mean of its divisors is an integer number (639570176).

Almost surely, 220230204300 is an apocalyptic number.

20230204300 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 20230204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23024526336).

20230204300 is an abundant number, since it is smaller than the sum of its proper divisors (25818848372).

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

20230204300 is a wasteful number, since it uses less digits than its factorization.

20230204300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46279 (or 46272 counting only the distinct ones).

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

Adding to 20230204300 its reverse (340203202), we get a palindrome (20570407502).

The spelling of 20230204300 in words is "twenty billion, two hundred thirty million, two hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 191 230 382 460 575 764 955 1150 1910 2300 3820 4393 4775 8786 9550 17572 19100 21965 43930 46051 87860 92102 109825 184204 219650 230255 439300 460510 921020 1059173 1151275 2118346 2302550 4236692 4605100 5295865 8795741 10591730 17591482 21183460 26479325 35182964 43978705 52958650 87957410 105917300 175914820 202302043 219893525 404604086 439787050 809208172 879574100 1011510215 2023020430 4046040860 5057551075 10115102150 20230204300