Search a number
-
+
23224400020 = 2252925772393
BaseRepresentation
bin10101101000010010…
…000011100010010100
32012221112210202112201
4111220102003202110
5340030421300040
614400311254244
71451344100023
oct255022034224
965845722481
1023224400020
119938628528
12460197a384
13226170a543
1411a46228ba
1590dd88a9a
hex568483894

23224400020 has 72 divisors (see below), whose sum is σ = 50619684024. Its totient is φ = 8950136832.

The previous prime is 23224399997. The next prime is 23224400039. The reversal of 23224400020 is 2000442232.

It can be written as a sum of positive squares in 12 ways, for example, as 3665818116 + 19558581904 = 60546^2 + 139852^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9703944 + ... + 9706336.

It is an arithmetic number, because the mean of its divisors is an integer number (703051167).

Almost surely, 223224400020 is an apocalyptic number.

23224400020 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 23224400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25309842012).

23224400020 is an abundant number, since it is smaller than the sum of its proper divisors (27395284004).

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

23224400020 is a wasteful number, since it uses less digits than its factorization.

23224400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 23224400020 its reverse (2000442232), we get a palindrome (25224842252).

The spelling of 23224400020 in words is "twenty-three billion, two hundred twenty-four million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 577 580 841 1154 1682 2308 2393 2885 3364 4205 4786 5770 8410 9572 11540 11965 16733 16820 23930 33466 47860 66932 69397 83665 138794 167330 277588 334660 346985 485257 693970 970514 1380761 1387940 1941028 2012513 2426285 2761522 4025026 4852570 5523044 6903805 8050052 9705140 10062565 13807610 20125130 27615220 40042069 40250260 80084138 160168276 200210345 400420690 800841380 1161220001 2322440002 4644880004 5806100005 11612200010 23224400020