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230019996816 = 243217223512
BaseRepresentation
bin1101011000111001000…
…0101001110010010000
3210222201111012112100100
43112032100221302100
512232040104344231
6253400354452400
722422052466421
oct3261620516220
9728644175310
10230019996816
1189607323125
12386b5294100
13188c98960bc
14b1c1053648
155eb3bed1e6
hex358e429c90

230019996816 has 135 divisors (see below), whose sum is σ = 684121826713. Its totient is φ = 72132441600.

The previous prime is 230019996751. The next prime is 230019996839. The reversal of 230019996816 is 618699910032.

The square root of 230019996816 is 479604.

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., 179081312400 + 50938684416 = 423180^2 + 225696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97838041 + ... + 97840391.

Almost surely, 2230019996816 is an apocalyptic number.

230019996816 is the 479604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230019996816

230019996816 is an abundant number, since it is smaller than the sum of its proper divisors (454101829897).

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

230019996816 is an equidigital number, since it uses as much as digits as its factorization.

230019996816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 230019996816 in words is "two hundred thirty billion, nineteen million, nine hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2351 2448 2601 3468 4624 4702 5202 6936 7053 9404 10404 13872 14106 18808 20808 21159 28212 37616 39967 41616 42318 56424 79934 84636 112848 119901 159868 169272 239802 319736 338544 359703 479604 639472 679439 719406 959208 1358878 1438812 1918416 2038317 2717756 2877624 4076634 5435512 5527201 5755248 6114951 8153268 10871024 11054402 12229902 16306536 16581603 22108804 24459804 32613072 33163206 44217608 48919608 49744809 66326412 88435216 93962417 97839216 99489618 132652824 187924834 198979236 265305648 281887251 375849668 397958472 563774502 751699336 795916944 845661753 1127549004 1503398672 1597361089 1691323506 2255098008 3194722178 3382647012 4510196016 4792083267 6389444356 6765294024 9584166534 12778888712 13530588048 14376249801 19168333068 25557777424 28752499602 38336666136 57504999204 76673332272 115009998408 230019996816