Search a number
-
+
2224232200996 = 2213219230192
BaseRepresentation
bin100000010111011110100…
…100011111101100100100
321212122010120021220001021
4200113132210133230210
5242420211420412441
64421444223140524
7316460355523261
oct40273644375444
97778116256037
102224232200996
11788323101283
122bb0a2a44744
13131989ccc900
1479920d72268
153cccda0d3d1
hex205de91fb24

2224232200996 has 81 divisors (see below), whose sum is σ = 4449838088241. Its totient is φ = 972216636768.

The previous prime is 2224232200991. The next prime is 2224232201119. The reversal of 2224232200996 is 6990022324222.

The square root of 2224232200996 is 1491386.

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

2224232200996 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 only one way, i.e., 329028432100 + 1895203768896 = 573610^2 + 1376664^2 .

It is not an unprimeable number, because it can be changed into a prime (2224232200991) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 736743175 + ... + 736746193.

Almost surely, 22224232200996 is an apocalyptic number.

2224232200996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2224232200996 is the 1491386-th square number.

It is an amenable number.

2224232200996 is an abundant number, since it is smaller than the sum of its proper divisors (2225605887245).

2224232200996 is an equidigital number, since it uses as much as digits as its factorization.

2224232200996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 2224232200996 in words is "two trillion, two hundred twenty-four billion, two hundred thirty-two million, two hundred thousand, nine hundred ninety-six".

Divisors: 1 2 4 13 19 26 38 52 76 169 247 338 361 494 676 722 988 1444 3019 3211 4693 6038 6422 9386 12076 12844 18772 39247 57361 61009 78494 114722 122018 156988 229444 244036 510211 745693 1020422 1089859 1491386 2040844 2179718 2982772 4359436 9114361 9694009 14168167 18228722 19388018 28336334 36457444 38776036 56672668 118486693 173172859 184186171 236973386 346345718 368372342 473946772 692691436 736744684 1540327009 2251247167 3080654018 3290284321 4502494334 6161308036 6580568642 9004988668 13161137284 29266213171 42773696173 58532426342 85547392346 117064852684 171094784692 556058050249 1112116100498 2224232200996