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230164242 = 237112941419
BaseRepresentation
bin11011011100000…
…00011100010010
3121001002112222120
431232000130102
5432410223432
634501115110
75463235530
oct1556003422
9531075876
10230164242
11108a15890
12650b8a96
13388b8c79
14227d5150
1515316c2c
hexdb80712

230164242 has 128 divisors (see below), whose sum is σ = 609638400. Its totient is φ = 56179200.

The previous prime is 230164223. The next prime is 230164267. The reversal of 230164242 is 242461032.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549109 + ... + 549527.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2230164242 is an apocalyptic number.

230164242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230164242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

230164242 is an abundant number, since it is smaller than the sum of its proper divisors (379474158).

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

230164242 is a wasteful number, since it uses less digits than its factorization.

230164242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 230164242 is about 15171.1648201448. The cubic root of 230164242 is about 612.8383731881.

The spelling of 230164242 in words is "two hundred thirty million, one hundred sixty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 41 42 58 66 77 82 87 123 154 174 203 231 246 287 319 406 419 451 462 574 609 638 838 861 902 957 1189 1218 1257 1353 1722 1914 2233 2378 2514 2706 2933 3157 3567 4466 4609 5866 6314 6699 7134 8323 8799 9218 9471 12151 13079 13398 13827 16646 17179 17598 18942 24302 24969 26158 27654 32263 34358 36453 39237 49938 51537 64526 72906 78474 85057 91553 96789 103074 120253 133661 170114 183106 188969 193578 240506 255171 267322 274659 360759 377938 400983 498191 510342 549318 566907 721518 801966 935627 996382 1133814 1322783 1494573 1871254 2645566 2806881 2989146 3487337 3968349 5480101 5613762 6974674 7936698 10462011 10960202 16440303 20924022 32880606 38360707 76721414 115082121 230164242