Search a number
-
+
230371174000 = 24531122341389
BaseRepresentation
bin1101011010001100110…
…0010010011001110000
3211000121222000011212201
43112203030102121300
512233300010032000
6253455301432544
722433545445542
oct3264314223160
9730558004781
10230371174000
1189777581800
1238792a0b754
1318954572056
14b215949692
155ed496a96a
hex35a3312670

230371174000 has 240 divisors, whose sum is σ = 638917231680. Its totient is φ = 80127168000.

The previous prime is 230371173953. The next prime is 230371174037. The reversal of 230371174000 is 471173032.

230371174000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2303711740003 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230371174000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5545306 + ... + 5586694.

It is an arithmetic number, because the mean of its divisors is an integer number (2662155132).

Almost surely, 2230371174000 is an apocalyptic number.

230371174000 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 230371174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319458615840).

230371174000 is an abundant number, since it is smaller than the sum of its proper divisors (408546057680).

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

230371174000 is a wasteful number, since it uses less digits than its factorization.

230371174000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41457 (or 41430 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 230371174000 in words is "two hundred thirty billion, three hundred seventy-one million, one hundred seventy-four thousand".