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230876406016 = 285925092
BaseRepresentation
bin1101011100000101001…
…1100110000100000000
3211001221011200121220121
43113001103212010000
512240313324443031
6254021350350024
722452222033304
oct3270123460400
9731834617817
10230876406016
1189a06792023
12388b405b314
1318a051396c9
14b262aa3d04
156013eb9011
hex35c14e6100

230876406016 has 81 divisors (see below), whose sum is σ = 469717194541. Its totient is φ = 113258673152.

The previous prime is 230876406011. The next prime is 230876406043. The reversal of 230876406016 is 610604678032.

The square root of 230876406016 is 480496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 187745423616 + 43130982400 = 433296^2 + 207680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230876406011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 453587970 + ... + 453588478.

Almost surely, 2230876406016 is an apocalyptic number.

230876406016 is the 480496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230876406016

230876406016 is an abundant number, since it is smaller than the sum of its proper divisors (238840788525).

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

230876406016 is an frugal number, since it uses more digits than its factorization.

230876406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 230876406016 in words is "two hundred thirty billion, eight hundred seventy-six million, four hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 509 944 1018 1888 2036 3481 3776 4072 6962 7552 8144 13924 15104 16288 27848 30031 32576 55696 60062 65152 111392 120124 130304 222784 240248 259081 445568 480496 518162 891136 960992 1036324 1771829 1921984 2072648 3543658 3843968 4145296 7087316 7687936 8290592 14174632 15285779 16581184 28349264 30571558 33162368 56698528 61143116 66324736 113397056 122286232 226794112 244572464 453588224 489144928 901860961 978289856 1803721922 1956579712 3607443844 3913159424 7214887688 14429775376 28859550752 57719101504 115438203008 230876406016