Search a number
-
+
231438923520 = 28357103179467
BaseRepresentation
bin1101011110001011010…
…1011011011100000000
3211010101101011110212020
43113202311123130000
512242441331023040
6254153243201440
722502162251110
oct3274265333400
9733341143766
10231438923520
118a175269822
1238a30516280
1318a948405bc
14b2b7691040
156048580cd0
hex35e2d5b700

231438923520 has 576 divisors, whose sum is σ = 859555307520. Its totient is φ = 51982516224.

The previous prime is 231438923489. The next prime is 231438923561. The reversal of 231438923520 is 25329834132.

It is a happy number.

231438923520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495586327 + ... + 495586793.

It is an arithmetic number, because the mean of its divisors is an integer number (1492283520).

Almost surely, 2231438923520 is an apocalyptic number.

231438923520 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 231438923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429777653760).

231438923520 is an abundant number, since it is smaller than the sum of its proper divisors (628116384000).

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

231438923520 is a wasteful number, since it uses less digits than its factorization.

231438923520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 231438923520 in words is "two hundred thirty-one billion, four hundred thirty-eight million, nine hundred twenty-three thousand, five hundred twenty".