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231072490000 = 2454112192232
BaseRepresentation
bin1101011100110011111…
…1100110001000010000
3211002102211122201120101
43113030333212020100
512241214024140000
6254053033222144
722460122520602
oct3271477461020
9732384581511
10231072490000
1189aa743a900
1238949861954
1318a36952431
14b280b47172
1560262ece6a
hex35ccfe6210

231072490000 has 675 divisors, whose sum is σ = 678444733659. Its totient is φ = 76142880000.

The previous prime is 231072489997. The next prime is 231072490003. The reversal of 231072490000 is 94270132.

The square root of 231072490000 is 480700.

It is a perfect power (a square), and thus also a powerful number.

231072490000 is digitally balanced in base 2, 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 (231072489997) and next prime (231072490003).

It can be written as a sum of positive squares in 2 ways, for example, as 18116083216 + 212956406784 = 134596^2 + 461472^2 .

It is not an unprimeable number, because it can be changed into a prime (231072490003) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 10046629989 + ... + 10046630011.

Almost surely, 2231072490000 is an apocalyptic number.

231072490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

231072490000 is the 480700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231072490000

231072490000 is an abundant number, since it is smaller than the sum of its proper divisors (447372243659).

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

231072490000 is a wasteful number, since it uses less digits than its factorization.

231072490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 231072490000 in words is "two hundred thirty-one billion, seventy-two million, four hundred ninety thousand".