Search a number
-
+
2202223213000 = 235311319488701
BaseRepresentation
bin100000000010111110101…
…110110111100111001000
321210112022201111110100201
4200002332232313213020
5242040123120304000
64403404250141544
7315051100311436
oct40027656674710
97715281443321
102202223213000
11779a596568a8
122b69801218b4
1312c8903518a5
1478833d31d56
153c44170696a
hex200bebb79c8

2202223213000 has 64 divisors (see below), whose sum is σ = 5198806145520. Its totient is φ = 873093760000.

The previous prime is 2202223212983. The next prime is 2202223213051. The reversal of 2202223213000 is 3123222022.

2202223213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 330355954756 + 1871867258244 = 574766^2 + 1368162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9631351 + ... + 9857350.

Almost surely, 22202223213000 is an apocalyptic number.

2202223213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202223213000 is an abundant number, since it is smaller than the sum of its proper divisors (2996582932520).

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

2202223213000 is a wasteful number, since it uses less digits than its factorization.

2202223213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19488835 (or 19488821 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 2202223213000 its reverse (3123222022), we get a palindrome (2205346435022).

The spelling of 2202223213000 in words is "two trillion, two hundred two billion, two hundred twenty-three million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1130 2260 2825 4520 5650 11300 14125 22600 28250 56500 113000 19488701 38977402 77954804 97443505 155909608 194887010 389774020 487217525 779548040 974435050 1948870100 2202223213 2436087625 3897740200 4404446426 4872175250 8808892852 9744350500 11011116065 17617785704 19488701000 22022232130 44044464260 55055580325 88088928520 110111160650 220222321300 275277901625 440444642600 550555803250 1101111606500 2202223213000