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231240430200 = 2335213139921191
BaseRepresentation
bin1101011101011100000…
…0001111001001111000
3211002212112122222012210
43113113000033021320
512242040022231300
6254121432535120
722464232140303
oct3272700171170
9732775588183
10231240430200
118a08321585a
1238995b514a0
1318a62693030
14b299181b3a
156035e23050
hex35d700f278

231240430200 has 192 divisors, whose sum is σ = 772575552000. Its totient is φ = 56877350400.

The previous prime is 231240430193. The next prime is 231240430237. The reversal of 231240430200 is 2034042132.

231240430200 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 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 47 ways as a sum of consecutive naturals, for example, 10901605 + ... + 10922795.

It is an arithmetic number, because the mean of its divisors is an integer number (4023831000).

Almost surely, 2231240430200 is an apocalyptic number.

231240430200 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 231240430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386287776000).

231240430200 is an abundant number, since it is smaller than the sum of its proper divisors (541335121800).

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

231240430200 is a wasteful number, since it uses less digits than its factorization.

231240430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22622 (or 22613 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 231240430200 its reverse (2034042132), we get a palindrome (233274472332).

The spelling of 231240430200 in words is "two hundred thirty-one billion, two hundred forty million, four hundred thirty thousand, two hundred".