Search a number
-
+
22244021300 = 2252809274957
BaseRepresentation
bin10100101101110110…
…001101010000110100
32010102020001100202202
4110231312031100310
5331023432140200
614115130324032
71415141030024
oct245566152064
963366040682
1022244021300
119485196486
124389589618
1321365802a7
141110341a84
158a2c811d5
hex52dd8d434

22244021300 has 36 divisors (see below), whose sum is σ = 48329367660. Its totient is φ = 8886577920.

The previous prime is 22244021299. The next prime is 22244021309. The reversal of 22244021300 is 312044222.

It can be written as a sum of positive squares in 6 ways, for example, as 1098789904 + 21145231396 = 33148^2 + 145414^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22244021309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 56579 + ... + 218378.

It is an arithmetic number, because the mean of its divisors is an integer number (1342482435).

Almost surely, 222244021300 is an apocalyptic number.

22244021300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22244021300 is an abundant number, since it is smaller than the sum of its proper divisors (26085346360).

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

22244021300 is a wasteful number, since it uses less digits than its factorization.

22244021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275780 (or 275773 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22244021300 its reverse (312044222), we get a palindrome (22556065522).

The spelling of 22244021300 in words is "twenty-two billion, two hundred forty-four million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 809 1618 3236 4045 8090 16180 20225 40450 80900 274957 549914 1099828 1374785 2749570 5499140 6873925 13747850 27495700 222440213 444880426 889760852 1112201065 2224402130 4448804260 5561005325 11122010650 22244021300