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231888384 = 2932721379
BaseRepresentation
bin11011101001001…
…01011000000000
3121011100011001200
431310211120000
5433330412014
635002101200
75514006300
oct1564453000
9534304050
10231888384
111099931a2
12657aa800
1339070980
1422b23600
1515557a09
hexdd25600

231888384 has 360 divisors, whose sum is σ = 849008160. Its totient is φ = 60383232.

The previous prime is 231888373. The next prime is 231888413. The reversal of 231888384 is 483888132.

Added to its reverse (483888132) it gives a square (715776516 = 267542).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2935257 + ... + 2935335.

It is an arithmetic number, because the mean of its divisors is an integer number (2358356).

Almost surely, 2231888384 is an apocalyptic number.

231888384 is a gapful number since it is divisible by the number (24) 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 231888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424504080).

231888384 is an abundant number, since it is smaller than the sum of its proper divisors (617119776).

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

231888384 is a wasteful number, since it uses less digits than its factorization.

231888384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 231888384 is about 15227.8817962315. The cubic root of 231888384 is about 614.3648091823.

Adding to 231888384 its reverse (483888132), we get a square (715776516 = 267542).

The spelling of 231888384 in words is "two hundred thirty-one million, eight hundred eighty-eight thousand, three hundred eighty-four".