Search a number
-
+
2328855120 = 2432513124691
BaseRepresentation
bin1000101011001111…
…1000001001010000
320000022011002122100
42022303320021100
514232141330440
61023031240400
7111465641034
oct21263701120
96008132570
102328855120
11a9563a359
1254bb19100
132b1638ca7
141814201c4
15d96c1230
hex8acf8250

2328855120 has 120 divisors (see below), whose sum is σ = 7881093792. Its totient is φ = 616262400.

The previous prime is 2328855097. The next prime is 2328855127. The reversal of 2328855120 is 215588232.

2328855120 is a `hidden beast` number, since 2 + 3 + 2 + 88 + 551 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328855127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81975 + ... + 106665.

Almost surely, 22328855120 is an apocalyptic number.

2328855120 is a gapful number since it is divisible by the number (20) 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 2328855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940546896).

2328855120 is an abundant number, since it is smaller than the sum of its proper divisors (5552238672).

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

2328855120 is a wasteful number, since it uses less digits than its factorization.

2328855120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24841 (or 24832 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2328855120 is about 48258.2129797613. The cubic root of 2328855120 is about 1325.5033322099.

The spelling of 2328855120 in words is "two billion, three hundred twenty-eight million, eight hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 360 393 524 655 720 786 1048 1179 1310 1572 1965 2096 2358 2620 3144 3930 4716 5240 5895 6288 7860 9432 10480 11790 15720 18864 23580 24691 31440 47160 49382 74073 94320 98764 123455 148146 197528 222219 246910 296292 370365 395056 444438 493820 592584 740730 888876 987640 1111095 1185168 1481460 1777752 1975280 2222190 2962920 3234521 3555504 4444380 5925840 6469042 8888760 9703563 12938084 16172605 17777520 19407126 25876168 29110689 32345210 38814252 48517815 51752336 58221378 64690420 77628504 97035630 116442756 129380840 145553445 155257008 194071260 232885512 258761680 291106890 388142520 465771024 582213780 776285040 1164427560 2328855120