Search a number
-
+
2202225444224 = 27131886970139
BaseRepresentation
bin100000000010111110110…
…111011000010110000000
321210112022212200211000122
4200002332313120112000
5242040124203203344
64403404410035412
7315051125263451
oct40027667302600
97715285624018
102202225444224
11779a5a940193
122b6980a18b68
1312c890953340
1478834353128
153c4419e7aee
hex200bedd8580

2202225444224 has 64 divisors (see below), whose sum is σ = 4725044226000. Its totient is φ = 1016343386112.

The previous prime is 2202225444203. The next prime is 2202225444241. The reversal of 2202225444224 is 4224445222022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 31362947 + ... + 31433085.

Almost surely, 22202225444224 is an apocalyptic number.

It is an amenable number.

2202225444224 is an abundant number, since it is smaller than the sum of its proper divisors (2522818781776).

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

2202225444224 is a wasteful number, since it uses less digits than its factorization.

2202225444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89035 (or 89023 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 35.

The spelling of 2202225444224 in words is "two trillion, two hundred two billion, two hundred twenty-five million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 18869 37738 70139 75476 140278 150952 245297 280556 301904 490594 561112 603808 911807 981188 1122224 1207616 1823614 1962376 2244448 2415232 3647228 3924752 4488896 7294456 7849504 8977792 14588912 15699008 29177824 31398016 58355648 116711296 1323452791 2646905582 5293811164 10587622328 17204886283 21175244656 34409772566 42350489312 68819545132 84700978624 137639090264 169401957248 275278180528 550556361056 1101112722112 2202225444224