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231223212000 = 253253113743367
BaseRepresentation
bin1101011101010111111…
…0100011011111100000
3211002211100021012021200
43113111332203133200
512242021120241000
6254120015521200
722463632605414
oct3272576433740
9732740235250
10231223212000
118a074525540
1238990229200
1318a5bc44b51
14b296b7cd44
156034671500
hex35d5fa37e0

231223212000 has 1152 divisors, whose sum is σ = 943352137728. Its totient is φ = 53125632000.

The previous prime is 231223211983. The next prime is 231223212007. The reversal of 231223212000 is 212322132.

231223212000 is a `hidden beast` number, since 2 + 312 + 232 + 120 + 0 + 0 = 666.

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 (231223212007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 630035817 + ... + 630036183.

It is an arithmetic number, because the mean of its divisors is an integer number (818882064).

Almost surely, 2231223212000 is an apocalyptic number.

231223212000 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 231223212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471676068864).

231223212000 is an abundant number, since it is smaller than the sum of its proper divisors (712128925728).

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

231223212000 is a wasteful number, since it uses less digits than its factorization.

231223212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

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

Adding to 231223212000 its reverse (212322132), we get a palindrome (231435534132).

It can be divided in two parts, 2312232 and 12000, that added together give a palindrome (2324232).

The spelling of 231223212000 in words is "two hundred thirty-one billion, two hundred twenty-three million, two hundred twelve thousand".