Search a number
-
+
232987744080 = 243257313312341
BaseRepresentation
bin1101100011111100100…
…1101101011101010000
3211021101022112201020200
43120333021231131100
512304124330302310
6255011051535200
722555440102000
oct3307711553520
9737338481220
10232987744080
118a89a564613
12391a315a500
1318c80697180
14b3c3262000
1560d95209c0
hex363f26d750

232987744080 has 960 divisors, whose sum is σ = 1014801715200. Its totient is φ = 47551795200.

The previous prime is 232987744079. The next prime is 232987744081. The reversal of 232987744080 is 80447789232.

It is a happy number.

232987744080 is a `hidden beast` number, since 2 + 32 + 98 + 7 + 7 + 440 + 80 = 666.

232987744080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232987744079) and next prime (232987744081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232987744081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99523710 + ... + 99526050.

It is an arithmetic number, because the mean of its divisors is an integer number (1057085120).

Almost surely, 2232987744080 is an apocalyptic number.

232987744080 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 232987744080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507400857600).

232987744080 is an abundant number, since it is smaller than the sum of its proper divisors (781813971120).

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

232987744080 is a wasteful number, since it uses less digits than its factorization.

232987744080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 232987744080 in words is "two hundred thirty-two billion, nine hundred eighty-seven million, seven hundred forty-four thousand, eighty".