Search a number
-
+
2329138824 = 2334111320947
BaseRepresentation
bin1000101011010011…
…1101011010001000
320000022200111210220
42022310331122020
514232224420244
61023041310040
7111501232125
oct21264753210
96008614726
102329138824
11a95813521
12550035320
132b170816c
1418149574c
15d972a319
hex8ad3d688

2329138824 has 64 divisors (see below), whose sum is σ = 6017941440. Its totient is φ = 750704640.

The previous prime is 2329138759. The next prime is 2329138843. The reversal of 2329138824 is 4288319232.

It is a super-2 number, since 2×23291388242 = 10849775322928205952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100719 + ... + 121665.

It is an arithmetic number, because the mean of its divisors is an integer number (94030335).

Almost surely, 22329138824 is an apocalyptic number.

2329138824 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 2329138824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008970720).

2329138824 is an abundant number, since it is smaller than the sum of its proper divisors (3688802616).

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

2329138824 is a wasteful number, since it uses less digits than its factorization.

2329138824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21110 (or 21106 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 2329138824 is about 48261.1523277263. The cubic root of 2329138824 is about 1325.5571548407.

The spelling of 2329138824 in words is "two billion, three hundred twenty-nine million, one hundred thirty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 113 123 164 226 246 328 339 452 492 678 904 984 1356 2712 4633 9266 13899 18532 20947 27798 37064 41894 55596 62841 83788 111192 125682 167576 251364 502728 858827 1717654 2367011 2576481 3435308 4734022 5152962 6870616 7101033 9468044 10305924 14202066 18936088 20611848 28404132 56808264 97047451 194094902 291142353 388189804 582284706 776379608 1164569412 2329138824