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230568067242 = 233131311104803
BaseRepresentation
bin1101011010111011101…
…1011000000010101010
3211001010200111101122000
43112232323120002222
512234200411122432
6253531013511430
722441456143402
oct3265673300252
9731120441560
10230568067242
1189868732597
1238828942576
13189862ac226
14b233b5d802
155ee6dae57c
hex35aeed80aa

230568067242 has 64 divisors (see below), whose sum is σ = 517949752320. Its totient is φ = 76023370800.

The previous prime is 230568067231. The next prime is 230568067291. The reversal of 230568067242 is 242760865032.

230568067242 is a `hidden beast` number, since 2 + 3 + 0 + 568 + 0 + 67 + 24 + 2 = 666.

It is a super-2 number, since 2×2305680672422 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2147613 + ... + 2252415.

It is an arithmetic number, because the mean of its divisors is an integer number (8092964880).

Almost surely, 2230568067242 is an apocalyptic number.

230568067242 is an abundant number, since it is smaller than the sum of its proper divisors (287381685078).

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

230568067242 is a wasteful number, since it uses less digits than its factorization.

230568067242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105256 (or 105250 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 230568067242 in words is "two hundred thirty billion, five hundred sixty-eight million, sixty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 131 262 311 393 622 786 933 1179 1866 2358 2799 3537 5598 7074 8397 16794 40741 81482 104803 122223 209606 244446 314409 366669 628818 733338 943227 1100007 1886454 2200014 2829681 5659362 13729193 27458386 32593733 41187579 65187466 82375158 97781199 123562737 195562398 247125474 293343597 370688211 586687194 741376422 880030791 1760061582 4269779023 8539558046 12809337069 25618674138 38428011207 76856022414 115284033621 230568067242