Search a number
-
+
230370158592 = 21136724767
BaseRepresentation
bin1101011010001100100…
…0011010100000000000
3211000121220002121000000
43112203020122200000
512233244230033332
6253455224000000
722433534016300
oct3264310324000
9730556077000
10230370158592
1189776a48922
1238792600000
13189542a7b12
14b215763600
155ed4819b7c
hex35a321a800

230370158592 has 1008 divisors, whose sum is σ = 832720150080. Its totient is φ = 63458131968.

The previous prime is 230370158587. The next prime is 230370158653. The reversal of 230370158592 is 295851073032.

230370158592 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 7 + 0 + 1 + 58 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 83 ways as a sum of consecutive naturals, for example, 3438360543 + ... + 3438360609.

It is an arithmetic number, because the mean of its divisors is an integer number (826111260).

Almost surely, 2230370158592 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 230370158592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416360075040).

230370158592 is an abundant number, since it is smaller than the sum of its proper divisors (602349991488).

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

230370158592 is an frugal number, since it uses more digits than its factorization.

230370158592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 230370158592 in words is "two hundred thirty billion, three hundred seventy million, one hundred fifty-eight thousand, five hundred ninety-two".