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230385076992 = 28327195771303
BaseRepresentation
bin1101011010010000000…
…1010100101100000000
3211000122221011112012100
43112210001110230000
512233312034430432
6253500515430400
722434104562210
oct3264401245400
9730587145170
10230385076992
1189784408284
12387975b5400
13189573cc285
14b217728240
155ed5cb507c
hex35a4054b00

230385076992 has 432 divisors, whose sum is σ = 801105410560. Its totient is φ = 62204018688.

The previous prime is 230385076981. The next prime is 230385076993. The reversal of 230385076992 is 299670583032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (230385076993) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 176810613 + ... + 176811915.

Almost surely, 2230385076992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230385076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400552705280).

230385076992 is an abundant number, since it is smaller than the sum of its proper divisors (570720333568).

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

230385076992 is a wasteful number, since it uses less digits than its factorization.

230385076992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 230385076992 in words is "two hundred thirty billion, three hundred eighty-five million, seventy-six thousand, nine hundred ninety-two".