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231023412 = 223237251691
BaseRepresentation
bin11011100010100…
…10001100110100
3121002201012112200
431301102030310
5433120222122
634531344500
75503444434
oct1561221464
9532635480
10231023412
11109452344
1265452130
1338b2a059
142297a2c4
15154365ac
hexdc52334

231023412 has 72 divisors (see below), whose sum is σ = 603019872. Its totient is φ = 74520000.

The previous prime is 231023411. The next prime is 231023417. The reversal of 231023412 is 214320132.

231023412 is a `hidden beast` number, since 231 + 0 + 23 + 412 = 666.

231023412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231023411) 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, 333987 + ... + 334677.

It is an arithmetic number, because the mean of its divisors is an integer number (8375276).

Almost surely, 2231023412 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 231023412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301509936).

231023412 is an abundant number, since it is smaller than the sum of its proper divisors (371996460).

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

231023412 is a wasteful number, since it uses less digits than its factorization.

231023412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 984 counting only the distinct ones).

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

The square root of 231023412 is about 15199.4543323107. The cubic root of 231023412 is about 613.5999721509.

Adding to 231023412 its reverse (214320132), we get a palindrome (445343544).

The spelling of 231023412 in words is "two hundred thirty-one million, twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 251 333 444 502 666 691 753 1004 1332 1382 1506 2073 2259 2764 3012 4146 4518 6219 8292 9036 9287 12438 18574 24876 25567 27861 37148 51134 55722 76701 83583 102268 111444 153402 167166 173441 230103 306804 334332 346882 460206 520323 693764 920412 1040646 1560969 2081292 3121938 6243876 6417317 12834634 19251951 25669268 38503902 57755853 77007804 115511706 231023412