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231209984 = 210239817
BaseRepresentation
bin11011100011111…
…11110000000000
3121010001200110202
431301333300000
5433142204414
634535344332
75505152405
oct1561776000
9533050422
10231209984
1110956a535
12655220a8
1338b93c55
14229c82ac
15154719de
hexdc7fc00

231209984 has 44 divisors (see below), whose sum is σ = 482338704. Its totient is φ = 110567424.

The previous prime is 231209983. The next prime is 231210017. The reversal of 231209984 is 489902132.

231209984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231209983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18644 + ... + 28460.

Almost surely, 2231209984 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 231209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241169352).

231209984 is an abundant number, since it is smaller than the sum of its proper divisors (251128720).

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

231209984 is an equidigital number, since it uses as much as digits as its factorization.

231209984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 231209984 is about 15205.5905508468. The cubic root of 231209984 is about 613.7651065977.

The spelling of 231209984 in words is "two hundred thirty-one million, two hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2944 5888 9817 11776 19634 23552 39268 78536 157072 225791 314144 451582 628288 903164 1256576 1806328 2513152 3612656 5026304 7225312 10052608 14450624 28901248 57802496 115604992 231209984