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232002312 = 233192512027
BaseRepresentation
bin11011101010000…
…01001100001000
3121011112221100020
431311001030020
5433343033222
635004340440
75514662403
oct1565011410
9534487306
10232002312
11109a60853
1265844720
13390b0799
1422b52d3a
151557b65c
hexdd41308

232002312 has 64 divisors (see below), whose sum is σ = 613267200. Its totient is φ = 72936000.

The previous prime is 232002283. The next prime is 232002317. The reversal of 232002312 is 213200232.

It is a junction number, because it is equal to n+sod(n) for n = 232002291 and 232002300.

It is not an unprimeable number, because it can be changed into a prime (232002317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113443 + ... + 115469.

It is an arithmetic number, because the mean of its divisors is an integer number (9582300).

Almost surely, 2232002312 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 232002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).

232002312 is an abundant number, since it is smaller than the sum of its proper divisors (381264888).

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

232002312 is a wasteful number, since it uses less digits than its factorization.

232002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232002312 is about 15231.6221066569. The cubic root of 232002312 is about 614.4654062788.

Adding to 232002312 its reverse (213200232), we get a palindrome (445202544).

The spelling of 232002312 in words is "two hundred thirty-two million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 251 456 502 753 1004 1506 2008 2027 3012 4054 4769 6024 6081 8108 9538 12162 14307 16216 19076 24324 28614 38152 38513 48648 57228 77026 114456 115539 154052 231078 308104 462156 508777 924312 1017554 1526331 2035108 3052662 4070216 6105324 9666763 12210648 19333526 29000289 38667052 58000578 77334104 116001156 232002312