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231320448 = 27363767
BaseRepresentation
bin11011100100110…
…10101110000000
3121010021022000000
431302122232000
5433204223243
634542000000
75506122432
oct1562325600
9533238000
10231320448
11109635527
1265576000
1338c02308
1422a16652
15154945d3
hexdc9ab80

231320448 has 224 divisors, whose sum is σ = 720199560. Its totient is φ = 73903104.

The previous prime is 231320437. The next prime is 231320449. The reversal of 231320448 is 844023132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231320449) 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 27 ways as a sum of consecutive naturals, for example, 3452511 + ... + 3452577.

Almost surely, 2231320448 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 231320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360099780).

231320448 is an abundant number, since it is smaller than the sum of its proper divisors (488879112).

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

231320448 is an frugal number, since it uses more digits than its factorization.

231320448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 231320448 is about 15209.2224653333. Note that the first 3 decimals coincide. The cubic root of 231320448 is about 613.8628361639.

The spelling of 231320448 in words is "two hundred thirty-one million, three hundred twenty thousand, four hundred forty-eight".