Search a number
-
+
230490216000 = 263253111721953
BaseRepresentation
bin1101011010101001001…
…0011001011001000000
3211000221021000010210200
43112222102121121000
512234020443403000
6253515153125200
722436522340012
oct3265222313100
9730837003720
10230490216000
1189828799820
1238806859800
1318973121bc5
14b2276961b2
155ee0132500
hex35aa499640

230490216000 has 2016 divisors, whose sum is σ = 1024743208320. Its totient is φ = 48881664000.

The previous prime is 230490215953. The next prime is 230490216013. The reversal of 230490216000 is 612094032.

230490216000 is a `hidden beast` number, since 2 + 30 + 4 + 9 + 0 + 21 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4348871974 + ... + 4348872026.

Almost surely, 2230490216000 is an apocalyptic number.

230490216000 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 230490216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512371604160).

230490216000 is an abundant number, since it is smaller than the sum of its proper divisors (794252992320).

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

230490216000 is a wasteful number, since it uses less digits than its factorization.

230490216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 230490216000 in words is "two hundred thirty billion, four hundred ninety million, two hundred sixteen thousand".