Search a number
-
+
231544334000 = 24537131191661
BaseRepresentation
bin1101011110100100011…
…1100010011010110000
3211010122201111212212002
43113221013202122300
512243200322142000
6254211530353132
722504612236230
oct3275107423260
9733581455762
10231544334000
118a219816221
1238a5b88b7a8
1318ab0629975
14b2c768dcc0
1560529538d5
hex35e91e26b0

231544334000 has 320 divisors, whose sum is σ = 649096740864. Its totient is φ = 78249600000.

The previous prime is 231544333949. The next prime is 231544334027. The reversal of 231544334000 is 433445132.

231544334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2315443340002 (a number of 24 digits) contains 22 as substring.

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, 350293670 + ... + 350294330.

Almost surely, 2231544334000 is an apocalyptic number.

231544334000 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 231544334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324548370432).

231544334000 is an abundant number, since it is smaller than the sum of its proper divisors (417552406864).

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

231544334000 is a wasteful number, since it uses less digits than its factorization.

231544334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 231544334000 its reverse (433445132), we get a palindrome (231977779132).

The spelling of 231544334000 in words is "two hundred thirty-one billion, five hundred forty-four million, three hundred thirty-four thousand".