Search a number
-
+
2204720128900 = 22521484832
BaseRepresentation
bin100000000101010011100…
…011110110001110000100
321210202202201212221001101
4200011103203312032010
5242110231323111100
64404500123505444
7315200006613562
oct40052343661604
97722681787041
102204720128900
11780020043763
122b7358388284
1312cb9a741313
14789cd7bca32
153c53aa2386a
hex201538f6384

2204720128900 has 27 divisors (see below), whose sum is σ = 4784274900741. Its totient is φ = 881882112240.

The previous prime is 2204720128889. The next prime is 2204720128939. The reversal of 2204720128900 is 98210274022.

The square root of 2204720128900 is 1484830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 793699246404 + 1411020882496 = 890898^2 + 1187864^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2204720128900.

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 8 ways as a sum of consecutive naturals, for example, 14774059 + ... + 14922541.

Almost surely, 22204720128900 is an apocalyptic number.

2204720128900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2204720128900 is the 1484830-th square number.

It is an amenable number.

2204720128900 is an abundant number, since it is smaller than the sum of its proper divisors (2579554771841).

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

2204720128900 is an frugal number, since it uses more digits than its factorization.

2204720128900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296980 (or 148490 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 2204720128900 in words is "two trillion, two hundred four billion, seven hundred twenty million, one hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 148483 296966 593932 742415 1484830 2969660 3712075 7424150 14848300 22047201289 44094402578 88188805156 110236006445 220472012890 440944025780 551180032225 1102360064450 2204720128900