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230427990 = 23451379277
BaseRepresentation
bin11011011110000…
…00110101010110
3121001120221210000
431233000311112
5432442143430
634510512130
75465414502
oct1557006526
9531527700
10230427990
11109085a61
1265205646
133897c030
1422863302
1515369e60
hexdbc0d56

230427990 has 160 divisors (see below), whose sum is σ = 678142080. Its totient is φ = 55800576.

The previous prime is 230427983. The next prime is 230428001. The reversal of 230427990 is 99724032.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 831732 + ... + 832008.

It is an arithmetic number, because the mean of its divisors is an integer number (4238388).

Almost surely, 2230427990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230427990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339071040).

230427990 is an abundant number, since it is smaller than the sum of its proper divisors (447714090).

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

230427990 is a wasteful number, since it uses less digits than its factorization.

230427990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 230427990 is about 15179.8547423880. The cubic root of 230427990 is about 613.0723701423.

The spelling of 230427990 in words is "two hundred thirty million, four hundred twenty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 79 81 90 117 130 135 158 162 195 234 237 270 277 351 390 395 405 474 554 585 702 711 790 810 831 1027 1053 1170 1185 1385 1422 1662 1755 2054 2106 2133 2370 2493 2770 3081 3510 3555 3601 4155 4266 4986 5135 5265 6162 6399 7110 7202 7479 8310 9243 10270 10530 10665 10803 12465 12798 14958 15405 18005 18486 21330 21606 21883 22437 24930 27729 30810 31995 32409 36010 37395 43766 44874 46215 54015 55458 63990 64818 65649 74790 83187 92430 97227 108030 109415 112185 131298 138645 162045 166374 194454 196947 218830 224370 277290 284479 291681 324090 328245 393894 415935 486135 568958 583362 590841 656490 831870 853437 972270 984735 1181682 1422395 1458405 1706874 1772523 1969470 2560311 2844790 2916810 2954205 3545046 4267185 5120622 5908410 7680933 8534370 8862615 12801555 15361866 17725230 23042799 25603110 38404665 46085598 76809330 115213995 230427990