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230178293361 = 321944432
BaseRepresentation
bin1101011001011110110…
…0100000011001110001
3211000010112001211101100
43112113230200121301
512232401120341421
6253424211355013
722426014132402
oct3262754403161
9730115054340
10230178293361
1189688711715
123873a2b2a69
131892360b3b3
14b1d809b9a9
155ec2a6ac26
hex3597b20671

230178293361 has 45 divisors (see below), whose sum is σ = 351744715049. Its totient is φ = 145047602232.

The previous prime is 230178293339. The next prime is 230178293377. The reversal of 230178293361 is 163392871032.

The square root of 230178293361 is 479769.

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

230178293361 is a `hidden beast` number, since 2 + 30 + 178 + 2 + 93 + 361 = 666.

230178293361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230178293361 - 221 = 230176196209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230178293461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 519589606 + ... + 519590048.

Almost surely, 2230178293361 is an apocalyptic number.

230178293361 is the 479769-th square number.

230178293361 is the 239885-th centered octagonal number.

It is an amenable number.

230178293361 is a deficient number, since it is larger than the sum of its proper divisors (121566421688).

230178293361 is an frugal number, since it uses more digits than its factorization.

230178293361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 230178293361 in words is "two hundred thirty billion, one hundred seventy-eight million, two hundred ninety-three thousand, three hundred sixty-one".

Divisors: 1 3 9 19 57 171 361 443 1083 1329 3249 3987 6859 8417 20577 25251 61731 75753 130321 159923 196249 390963 479769 588747 1172889 1439307 1766241 3038537 3728731 9115611 11186193 27346833 33558579 57732203 70845889 173196609 212537667 519589827 637613001 1346071891 4038215673 12114647019 25575365929 76726097787 230178293361