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230060546352 = 243371321922943
BaseRepresentation
bin1101011001000010101…
…1010101100100110000
3210222211022111122212000
43112100223111210300
512232130444440402
6253404403534000
722423054243560
oct3262053254460
9728738448760
10230060546352
11896281a963a
123870698a300
13189050c2b00
14b1c65aada0
155eb755cc1c
hex3590ad5930

230060546352 has 1440 divisors, whose sum is σ = 912980851200. Its totient is φ = 54209046528.

The previous prime is 230060546279. The next prime is 230060546369. The reversal of 230060546352 is 253645060032.

230060546352 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 60 + 546 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 5350245243 + ... + 5350245285.

It is an arithmetic number, because the mean of its divisors is an integer number (634014480).

Almost surely, 2230060546352 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 230060546352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456490425600).

230060546352 is an abundant number, since it is smaller than the sum of its proper divisors (682920304848).

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

230060546352 is a wasteful number, since it uses less digits than its factorization.

230060546352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 230060546352 in words is "two hundred thirty billion, sixty million, five hundred forty-six thousand, three hundred fifty-two".