Search a number
-
+
2119402344 = 2332383167277
BaseRepresentation
bin111111001010011…
…1000001101101000
312110201000210110010
41332110320031220
513320031333334
6550150051520
7103343423403
oct17624701550
95421023403
102119402344
11998390394
124b1949ba0
1327a122237
1416169ad3a
15c60eb0e9
hex7e538368

2119402344 has 128 divisors (see below), whose sum is σ = 5649315840. Its totient is φ = 661216512.

The previous prime is 2119402343. The next prime is 2119402379. The reversal of 2119402344 is 4432049112.

2119402344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2119402343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7651134 + ... + 7651410.

It is an arithmetic number, because the mean of its divisors is an integer number (44135280).

Almost surely, 22119402344 is an apocalyptic number.

2119402344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119402344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824657920).

2119402344 is an abundant number, since it is smaller than the sum of its proper divisors (3529913496).

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

2119402344 is a wasteful number, since it uses less digits than its factorization.

2119402344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2119402344 is about 46036.9671459795. The cubic root of 2119402344 is about 1284.5109281563.

The spelling of 2119402344 in words is "two billion, one hundred nineteen million, four hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 83 92 138 166 167 184 249 276 277 332 334 498 501 552 554 664 668 831 996 1002 1108 1336 1662 1909 1992 2004 2216 3324 3818 3841 4008 5727 6371 6648 7636 7682 11454 11523 12742 13861 15272 15364 19113 22908 22991 23046 25484 27722 30728 38226 41583 45816 45982 46092 46259 50968 55444 68973 76452 83166 91964 92184 92518 110888 137946 138777 152904 166332 183928 185036 275892 277554 318803 332664 370072 528793 551784 555108 637606 956409 1057586 1063957 1110216 1275212 1586379 1912818 2115172 2127914 2550424 3172758 3191871 3825636 3839497 4230344 4255828 6345516 6383742 7651272 7678994 8511656 11518491 12691032 12767484 15357988 23036982 25534968 30715976 46073964 88308431 92147928 176616862 264925293 353233724 529850586 706467448 1059701172 2119402344