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231212304 = 24329716553
BaseRepresentation
bin11011100100000…
…00010100010000
3121010001210122200
431302000110100
5433142243204
634535403200
75505162231
oct1562002420
9533053580
10231212304
11109571254
1265523500
1338b9501b
14229c9088
1515472539
hexdc80510

231212304 has 60 divisors (see below), whose sum is σ = 653783676. Its totient is φ = 76271616.

The previous prime is 231212287. The next prime is 231212309. The reversal of 231212304 is 403212132.

It can be written as a sum of positive squares in 2 ways, for example, as 174240000 + 56972304 = 13200^2 + 7548^2 .

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

It is not an unprimeable number, because it can be changed into a prime (231212309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5692 + ... + 22244.

Almost surely, 2231212304 is an apocalyptic number.

231212304 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 231212304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326891838).

231212304 is an abundant number, since it is smaller than the sum of its proper divisors (422571372).

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

231212304 is a wasteful number, since it uses less digits than its factorization.

231212304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16664 (or 16655 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231212304 is about 15205.6668383863. Note that the first 3 decimals coincide. The cubic root of 231212304 is about 613.7671594651.

Adding to 231212304 its reverse (403212132), we get a palindrome (634424436).

It can be divided in two parts, 23121 and 2304, that added together give a triangular number (25425 = T225).

The spelling of 231212304 in words is "two hundred thirty-one million, two hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 16553 33106 49659 66212 99318 132424 148977 198636 264848 297954 397272 595908 794544 1191816 1605641 2383632 3211282 4816923 6422564 9633846 12845128 14450769 19267692 25690256 28901538 38535384 57803076 77070768 115606152 231212304