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231939840 = 28351117219
BaseRepresentation
bin11011101001100…
…01111100000000
3121011102202122110
431310301330000
5433334033330
635003135320
75514312306
oct1564617400
9534382573
10231939840
11109a18920
1265814540
133908b212
1422b38276
1515567db0
hexdd31f00

231939840 has 432 divisors, whose sum is σ = 903611520. Its totient is φ = 50135040.

The previous prime is 231939811. The next prime is 231939853. The reversal of 231939840 is 48939132.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12207351 + ... + 12207369.

Almost surely, 2231939840 is an apocalyptic number.

231939840 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 231939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451805760).

231939840 is an abundant number, since it is smaller than the sum of its proper divisors (671671680).

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

231939840 is a wasteful number, since it uses less digits than its factorization.

231939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 231939840 is about 15229.5712349363. The cubic root of 231939840 is about 614.4102483100.

It can be divided in two parts, 23193 and 9840, that added together give a palindrome (33033).

The spelling of 231939840 in words is "two hundred thirty-one million, nine hundred thirty-nine thousand, eight hundred forty".