Search a number
-
+
1223005014 = 233721142019
BaseRepresentation
bin100100011100101…
…1001001101010110
310011020022002111000
41020321121031112
510001042130024
6321205124130
742210241200
oct11071311526
93136262430
101223005014
11578399850
122a16b9646
131664ba60a
14b85db770
1572581cc9
hex48e59356

1223005014 has 96 divisors (see below), whose sum is σ = 3449001600. Its totient is φ = 317656080.

The previous prime is 1223005009. The next prime is 1223005019. The reversal of 1223005014 is 4105003221.

It is an interprime number because it is at equal distance from previous prime (1223005009) and next prime (1223005019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223005019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8097 + ... + 50115.

It is an arithmetic number, because the mean of its divisors is an integer number (35927100).

Almost surely, 21223005014 is an apocalyptic number.

1223005014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223005014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724500800).

1223005014 is an abundant number, since it is smaller than the sum of its proper divisors (2225996586).

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

1223005014 is a wasteful number, since it uses less digits than its factorization.

1223005014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42055 (or 42042 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1223005014 is about 34971.4885871334. The cubic root of 1223005014 is about 1069.4063186947.

Adding to 1223005014 its reverse (4105003221), we get a palindrome (5328008235).

The spelling of 1223005014 in words is "one billion, two hundred twenty-three million, five thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 378 441 462 539 594 693 882 1078 1323 1386 1617 2079 2646 3234 4158 4851 9702 14553 29106 42019 84038 126057 252114 294133 378171 462209 588266 756342 882399 924418 1134513 1386627 1764798 2058931 2269026 2647197 2773254 3235463 4117862 4159881 5294394 6176793 6470926 7941591 8319762 9706389 12353586 12479643 15883182 18530379 19412778 22648241 24959286 29119167 37060758 45296482 55591137 58238334 67944723 87357501 111182274 135889446 174715002 203834169 407668338 611502507 1223005014