Search a number
-
+
2323001244 = 22317311073433
BaseRepresentation
bin1000101001110110…
…0010111110011100
312222220010200122010
42022131202332130
514224142014434
61022301551220
7111365120244
oct21235427634
95886120563
102323001244
11a92301243
12549b75510
132b0369665
14180738b24
15d8e169e9
hex8a762f9c

2323001244 has 96 divisors (see below), whose sum is σ = 5981423616. Its totient is φ = 698480640.

The previous prime is 2323001231. The next prime is 2323001251. The reversal of 2323001244 is 4421003232.

It is a self number, because there is not a number n which added to its sum of digits gives 2323001244.

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 31 ways as a sum of consecutive naturals, for example, 674952 + ... + 678384.

It is an arithmetic number, because the mean of its divisors is an integer number (62306496).

Almost surely, 22323001244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323001244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990711808).

2323001244 is an abundant number, since it is smaller than the sum of its proper divisors (3658422372).

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

2323001244 is a wasteful number, since it uses less digits than its factorization.

2323001244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2323001244 is about 48197.5232143727. The cubic root of 2323001244 is about 1324.3917928200.

Adding to 2323001244 its reverse (4421003232), we get a palindrome (6744004476).

The spelling of 2323001244 in words is "two billion, three hundred twenty-three million, one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 107 124 186 204 214 321 372 428 527 642 1054 1284 1581 1819 2108 3162 3317 3433 3638 5457 6324 6634 6866 7276 9951 10299 10914 13268 13732 19902 20598 21828 39804 41196 56389 58361 106423 112778 116722 169167 175083 212846 225556 233444 319269 338334 350166 367331 425692 638538 676668 700332 734662 1101993 1277076 1469324 1809191 2203986 3618382 4407972 5427573 6244627 7236764 10855146 11387261 12489254 18733881 21710292 22774522 24978508 34161783 37467762 45549044 68323566 74935524 136647132 193583437 387166874 580750311 774333748 1161500622 2323001244