Search a number
-
+
1230331200 = 26352725231
BaseRepresentation
bin100100101010101…
…0101110101000000
310011202002022010020
41021111111311000
510004431044300
6322030133440
742326433300
oct11125256500
93152068106
101230331200
1158154304a
122a4051280
13167b84137
14b9587600
157302c8a0
hex49555d40

1230331200 has 252 divisors, whose sum is σ = 4696431552. Its totient is φ = 281164800.

The previous prime is 1230331183. The next prime is 1230331229. The reversal of 1230331200 is 21330321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1230331200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232585 + ... + 237815.

Almost surely, 21230331200 is an apocalyptic number.

1230331200 is a gapful number since it is divisible by the number (10) 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 1230331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348215776).

1230331200 is an abundant number, since it is smaller than the sum of its proper divisors (3466100352).

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

1230331200 is a wasteful number, since it uses less digits than its factorization.

1230331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1230331200 is about 35076.0773177389. The cubic root of 1230331200 is about 1071.5374294475.

Adding to 1230331200 its reverse (21330321), we get a palindrome (1251661521).

The spelling of 1230331200 in words is "one billion, two hundred thirty million, three hundred thirty-one thousand, two hundred".