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20223301100 = 2252457547809
BaseRepresentation
bin10010110101011001…
…110001010111101100
31221012101201010202212
4102311121301113230
5312404131113400
613142423305552
71314103136342
oct226531612754
957171633685
1020223301100
118638587492
123b048ab2b8
131ba3a2ca72
14d9bc11992
157d5679335
hex4b56715ec

20223301100 has 72 divisors (see below), whose sum is σ = 44115457680. Its totient is φ = 8046904320.

The previous prime is 20223301013. The next prime is 20223301151. The reversal of 20223301100 is 110332202.

Adding to 20223301100 its reverse (110332202), we get a palindrome (20333633302).

It is a happy number.

It is a super-2 number, since 2×202233011002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24997496 + ... + 24998304.

It is an arithmetic number, because the mean of its divisors is an integer number (612714690).

Almost surely, 220223301100 is an apocalyptic number.

20223301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20223301100 is an abundant number, since it is smaller than the sum of its proper divisors (23892156580).

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

20223301100 is a wasteful number, since it uses less digits than its factorization.

20223301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The spelling of 20223301100 in words is "twenty billion, two hundred twenty-three million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 457 547 809 914 1094 1618 1828 2188 2285 2735 3236 4045 4570 5470 8090 9140 10940 11425 13675 16180 20225 22850 27350 40450 45700 54700 80900 249979 369713 442523 499958 739426 885046 999916 1249895 1478852 1770092 1848565 2212615 2499790 3697130 4425230 4999580 6249475 7394260 8850460 9242825 11063075 12498950 18485650 22126150 24997900 36971300 44252300 202233011 404466022 808932044 1011165055 2022330110 4044660220 5055825275 10111650550 20223301100