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231296 = 2713139
BaseRepresentation
bin111000011110000000
3102202021112
4320132000
524400141
64542452
71652222
oct703600
9382245
10231296
1114885a
12b1a28
1381380
1460412
15487eb
hex38780

231296 has 32 divisors (see below), whose sum is σ = 499800. Its totient is φ = 105984.

The previous prime is 231293. The next prime is 231299. The reversal of 231296 is 692132.

It is an interprime number because it is at equal distance from previous prime (231293) and next prime (231299).

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1595 + ... + 1733.

2231296 is an apocalyptic number.

231296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

231296 is the 278-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249900).

231296 is an abundant number, since it is smaller than the sum of its proper divisors (268504).

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

231296 is a wasteful number, since it uses less digits than its factorization.

231296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 231296 is about 480.9324276861. The cubic root of 231296 is about 61.3841209243.

The spelling of 231296 in words is "two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 278 416 556 832 1112 1664 1807 2224 3614 4448 7228 8896 14456 17792 28912 57824 115648 231296