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230999429376 = 2832172192312
BaseRepresentation
bin1101011100100010100…
…0111001000100000000
3211002020202011212020100
43113020220321010000
512241041323220001
6254041503242400
722455244516062
oct3271050710400
9732222155210
10230999429376
1189a6a179321
12389292a9400
1318a247817b1
14b275169732
15601ebba586
hex35c8a39100

230999429376 has 729 divisors, whose sum is σ = 771572698533. Its totient is φ = 66441461760.

The previous prime is 230999429371. The next prime is 230999429383. The reversal of 230999429376 is 673924999032.

The square root of 230999429376 is 480624.

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

230999429376 is a `hidden beast` number, since 230 + 9 + 9 + 9 + 4 + 29 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 179843846400 + 51155582976 = 424080^2 + 226176^2 .

It is a super-2 number, since 2×2309994293762 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230999429371) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7451594481 + ... + 7451594511.

Almost surely, 2230999429376 is an apocalyptic number.

230999429376 is the 480624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230999429376

230999429376 is an abundant number, since it is smaller than the sum of its proper divisors (540573269157).

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

230999429376 is a wasteful number, since it uses less digits than its factorization.

230999429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 230999429376 in words is "two hundred thirty billion, nine hundred ninety-nine million, four hundred twenty-nine thousand, three hundred seventy-six".