Search a number
-
+
230087983104 = 22036743
BaseRepresentation
bin1101011001001001010…
…0000000000000000000
3210222220020010121000000
43112102110000000000
512232210010424404
6253411224000000
722423536405240
oct3262224000000
9728806117000
10230087983104
1189641739241
1238714000000
131890a9ab185
14b1ca0adb20
155eb9b7c339
hex3592500000

230087983104 has 588 divisors, whose sum is σ = 806849487136. Its totient is φ = 64210599936.

The previous prime is 230087983079. The next prime is 230087983121. The reversal of 230087983104 is 401389780032.

It is a self number, because there is not a number n which added to its sum of digits gives 230087983104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5350883307 + ... + 5350883349.

Almost surely, 2230087983104 is an apocalyptic number.

230087983104 is a gapful number since it is divisible by the number (24) 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 230087983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403424743568).

230087983104 is an abundant number, since it is smaller than the sum of its proper divisors (576761504032).

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

230087983104 is an frugal number, since it uses more digits than its factorization.

230087983104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 230087983104 in words is "two hundred thirty billion, eighty-seven million, nine hundred eighty-three thousand, one hundred four".