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230911636960 = 2552950997771
BaseRepresentation
bin1101011100001101100…
…1111111010111100000
3211002000121222112200101
43113003121333113200
512240401334340320
6254025045432144
722453130346364
oct3270331772740
9732017875611
10230911636960
1189a24665604
1238903a0b654
1318a0c523614
14b2676352a4
156017127c0a
hex35c367f5e0

230911636960 has 96 divisors (see below), whose sum is σ = 565454584800. Its totient is φ = 89003550720.

The previous prime is 230911636909. The next prime is 230911637029. The reversal of 230911636960 is 69636119032.

230911636960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230911636960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2312875 + ... + 2410645.

It is an arithmetic number, because the mean of its divisors is an integer number (5890151925).

Almost surely, 2230911636960 is an apocalyptic number.

230911636960 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 230911636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282727292400).

230911636960 is an abundant number, since it is smaller than the sum of its proper divisors (334542947840).

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

230911636960 is a wasteful number, since it uses less digits than its factorization.

230911636960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98324 (or 98316 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 46.

The spelling of 230911636960 in words is "two hundred thirty billion, nine hundred eleven million, six hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 509 580 928 1018 1160 2036 2320 2545 4072 4640 5090 8144 10180 14761 16288 20360 29522 40720 59044 73805 81440 97771 118088 147610 195542 236176 295220 391084 472352 488855 590440 782168 977710 1180880 1564336 1955420 2361760 2835359 3128672 3910840 5670718 7821680 11341436 14176795 15643360 22682872 28353590 45365744 49765439 56707180 90731488 99530878 113414360 199061756 226828720 248827195 398123512 453657440 497654390 796247024 995308780 1443197731 1592494048 1990617560 2886395462 3981235120 5772790924 7215988655 7962470240 11545581848 14431977310 23091163696 28863954620 46182327392 57727909240 115455818480 230911636960