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23330330020 = 2253792933937
BaseRepresentation
bin10101101110100110…
…001001010110100100
32020012221010120012001
4111232212021112210
5340240031030040
614415013535044
71454101350604
oct255646112644
966187116161
1023330330020
1199923aa288
124631344484
13227a64920a
1411b4718c04
1591831059a
hex56e9895a4

23330330020 has 48 divisors (see below), whose sum is σ = 50373494640. Its totient is φ = 9069871104.

The previous prime is 23330329993. The next prime is 23330330041. The reversal of 23330330020 is 2003303332.

It can be written as a sum of positive squares in 8 ways, for example, as 726410304 + 22603919716 = 26952^2 + 150346^2 .

It is a super-2 number, since 2×233303300202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23330330020.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 670492 + ... + 704428.

It is an arithmetic number, because the mean of its divisors is an integer number (1049447805).

Almost surely, 223330330020 is an apocalyptic number.

23330330020 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 23330330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25186747320).

23330330020 is an abundant number, since it is smaller than the sum of its proper divisors (27043164620).

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

23330330020 is a wasteful number, since it uses less digits than its factorization.

23330330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34912 (or 34910 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 19.

Adding to 23330330020 its reverse (2003303332), we get a palindrome (25333633352).

The spelling of 23330330020 in words is "twenty-three billion, three hundred thirty million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 929 1858 3716 4645 9290 18580 33937 34373 67874 68746 135748 137492 169685 171865 339370 343730 678740 687460 1255669 2511338 5022676 6278345 12556690 25113380 31527473 63054946 126109892 157637365 315274730 630549460 1166516501 2333033002 4666066004 5832582505 11665165010 23330330020