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231036800 = 27521731137
BaseRepresentation
bin11011100010101…
…01011110000000
3121002201212220112
431301111132000
5433121134200
634531530452
75503531451
oct1561253600
9532655815
10231036800
11109461405
1265459a28
1338b33187
1422981128
151543a535
hexdc55780

231036800 has 192 divisors, whose sum is σ = 628352640. Its totient is φ = 83558400.

The previous prime is 231036797. The next prime is 231036803. The reversal of 231036800 is 8630132.

It is an interprime number because it is at equal distance from previous prime (231036797) and next prime (231036803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231036803) 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, 1686332 + ... + 1686468.

It is an arithmetic number, because the mean of its divisors is an integer number (3272670).

Almost surely, 2231036800 is an apocalyptic number.

231036800 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 231036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314176320).

231036800 is an abundant number, since it is smaller than the sum of its proper divisors (397315840).

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

231036800 is a wasteful number, since it uses less digits than its factorization.

231036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 231036800 is about 15199.8947364776. The cubic root of 231036800 is about 613.6118247992.

Adding to 231036800 its reverse (8630132), we get a palindrome (239666932).

The spelling of 231036800 in words is "two hundred thirty-one million, thirty-six thousand, eight hundred".