Search a number
-
+
20330343200 = 2552115122079
BaseRepresentation
bin10010111011110010…
…000110101100100000
31221110212010102221002
4102323302012230200
5313114031440300
613201205451132
71316543031416
oct227362065440
957425112832
1020330343200
118692a48832
123b34710aa8
131bbcc6a99b
14dac1172b6
157dec705d5
hex4bbc86b20

20330343200 has 72 divisors (see below), whose sum is σ = 49676820480. Its totient is φ = 8124704000.

The previous prime is 20330343191. The next prime is 20330343217. The reversal of 20330343200 is 234303302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909761 + ... + 931839.

It is an arithmetic number, because the mean of its divisors is an integer number (689955840).

Almost surely, 220330343200 is an apocalyptic number.

20330343200 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 20330343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24838410240).

20330343200 is an abundant number, since it is smaller than the sum of its proper divisors (29346477280).

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

20330343200 is a wasteful number, since it uses less digits than its factorization.

20330343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23250 (or 23237 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 20330343200 its reverse (234303302), we get a palindrome (20564646502).

The spelling of 20330343200 in words is "twenty billion, three hundred thirty million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1151 2302 4604 5755 9208 11510 18416 22079 23020 28775 36832 44158 46040 57550 88316 92080 110395 115100 176632 184160 220790 230200 353264 441580 460400 551975 706528 883160 920800 1103950 1766320 2207900 3532640 4415800 8831600 17663200 25412929 50825858 101651716 127064645 203303432 254129290 406606864 508258580 635323225 813213728 1016517160 1270646450 2033034320 2541292900 4066068640 5082585800 10165171600 20330343200