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3230232120 = 2332513964553
BaseRepresentation
bin1100000010001001…
…0110111000111000
322100010020210102200
43000202112320320
523103414411440
61252311030200
7143022343233
oct30042267070
98303223380
103230232120
111408422225
1276196b360
133c62c536b
1422901841a
1513d8c0c30
hexc0896e38

3230232120 has 96 divisors (see below), whose sum is σ = 10573945200. Its totient is φ = 855184896.

The previous prime is 3230232107. The next prime is 3230232163. The reversal of 3230232120 is 212320323.

It is a happy number.

3230232120 is a `hidden beast` number, since 323 + 0 + 2 + 321 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3230232093 and 3230232102.

It is a congruent number.

It is an unprimeable number.

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, 17764 + ... + 82316.

Almost surely, 23230232120 is an apocalyptic number.

3230232120 is a gapful number since it is divisible by the number (30) 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 3230232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286972600).

3230232120 is an abundant number, since it is smaller than the sum of its proper divisors (7343713080).

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

3230232120 is a wasteful number, since it uses less digits than its factorization.

3230232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64709 (or 64702 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3230232120 is about 56835.1310370619. The cubic root of 3230232120 is about 1478.2387314778.

Adding to 3230232120 its reverse (212320323), we get a palindrome (3442552443).

The spelling of 3230232120 in words is "three billion, two hundred thirty million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 10008 12510 16680 25020 50040 64553 129106 193659 258212 322765 387318 516424 580977 645530 774636 968295 1161954 1291060 1549272 1936590 2323908 2582120 2904885 3873180 4647816 5809770 7746360 8972867 11619540 17945734 23239080 26918601 35891468 44864335 53837202 71782936 80755803 89728670 107674404 134593005 161511606 179457340 215348808 269186010 323023212 358914680 403779015 538372020 646046424 807558030 1076744040 1615116060 3230232120