Search a number
-
+
2223303320232 = 233319752249091
BaseRepresentation
bin100000010110100111001…
…101000110001010101000
321212112201211102212012000
4200112213031012022220
5242411311122221412
64421212122051000
7316425346260141
oct40264715061250
97775654385160
102223303320232
11787996843425
122baa83949a60
1313186c733817
1479873858ac8
153cc771c94dc
hex205a73462a8

2223303320232 has 64 divisors (see below), whose sum is σ = 6207192129600. Its totient is φ = 737339158080.

The previous prime is 2223303320219. The next prime is 2223303320239. The reversal of 2223303320232 is 2320233033222.

2223303320232 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 303 + 320 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2223303320196 and 2223303320205.

It is not an unprimeable number, because it can be changed into a prime (2223303320239) 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 15 ways as a sum of consecutive naturals, for example, 26081994 + ... + 26167097.

It is an arithmetic number, because the mean of its divisors is an integer number (96987377025).

Almost surely, 22223303320232 is an apocalyptic number.

It is an amenable number.

2223303320232 is an abundant number, since it is smaller than the sum of its proper divisors (3983888809368).

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

2223303320232 is a wasteful number, since it uses less digits than its factorization.

2223303320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52249303 (or 52249293 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 2223303320232 its reverse (2320233033222), we get a palindrome (4543536353454).

The spelling of 2223303320232 in words is "two trillion, two hundred twenty-three billion, three hundred three million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 197 216 394 591 788 1182 1576 1773 2364 3546 4728 5319 7092 10638 14184 21276 42552 52249091 104498182 156747273 208996364 313494546 417992728 470241819 626989092 940483638 1253978184 1410725457 1880967276 2821450914 3761934552 5642901828 10293070927 11285803656 20586141854 30879212781 41172283708 61758425562 82344567416 92637638343 123516851124 185275276686 247033702248 277912915029 370550553372 555825830058 741101106744 1111651660116 2223303320232