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20223112300 = 22522922433109
BaseRepresentation
bin10010110101011001…
…000011010001101100
31221012101100112210021
4102311121003101230
5312404104043200
613142415251524
71314101422036
oct226531032154
957171315707
1020223112300
118638468656
123b04819ba4
131ba3994b51
14d9bba2c56
157d563d41a
hex4b564346c

20223112300 has 72 divisors (see below), whose sum is σ = 45432248400. Its totient is φ = 7804312320.

The previous prime is 20223112253. The next prime is 20223112333. The reversal of 20223112300 is 321132202.

It is a super-2 number, since 2×202231123002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6503146 + ... + 6506254.

It is an arithmetic number, because the mean of its divisors is an integer number (631003450).

Almost surely, 220223112300 is an apocalyptic number.

20223112300 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 20223112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22716124200).

20223112300 is an abundant number, since it is smaller than the sum of its proper divisors (25209136100).

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

20223112300 is a wasteful number, since it uses less digits than its factorization.

20223112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20223112300 its reverse (321132202), we get a palindrome (20544244502).

The spelling of 20223112300 in words is "twenty billion, two hundred twenty-three million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2243 2900 3109 4486 6218 8972 11215 12436 15545 22430 31090 44860 56075 62180 65047 77725 90161 112150 130094 155450 180322 224300 260188 310900 325235 360644 450805 650470 901610 1300940 1626175 1803220 2254025 3252350 4508050 6504700 6973487 9016100 13946974 27893948 34867435 69734870 139469740 174337175 202231123 348674350 404462246 697348700 808924492 1011155615 2022311230 4044622460 5055778075 10111556150 20223112300