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230027454222336 = 212366721312
BaseRepresentation
bin110100010011010101110000…
…101100101001000000000000
31010011110102001210021211000000
4310103111300230221000000
5220122232211240103321
62133121053104000000
766310635516033411
oct6423256054510000
91104412053254000
10230027454222336
1167326106117a51
1221970a41000000
139b4765a5264b4
1440b356128d808
151b8d81e222826
hexd13570b29000

230027454222336 has 819 divisors, whose sum is σ = 705515334957363. Its totient is φ = 74954827284480.

The previous prime is 230027454222329. The next prime is 230027454222347. The reversal of 230027454222336 is 633222454720032.

The square root of 230027454222336 is 15166656.

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

230027454222336 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 2 + 74 + 542 + 2 + 2 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230027454222291 and 230027454222300.

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 62 ways as a sum of consecutive naturals, for example, 1755934764991 + ... + 1755934765121.

Almost surely, 2230027454222336 is an apocalyptic number.

230027454222336 is the 15166656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230027454222336

230027454222336 is an abundant number, since it is smaller than the sum of its proper divisors (475487880735027).

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

230027454222336 is an frugal number, since it uses more digits than its factorization.

230027454222336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 45.

The spelling of 230027454222336 in words is "two hundred thirty trillion, twenty-seven billion, four hundred fifty-four million, two hundred twenty-two thousand, three hundred thirty-six".