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230117888 = 2971113449
BaseRepresentation
bin11011011011101…
…01001000000000
3121001000012101202
431231311020000
5432402233023
634500120332
75462653430
oct1555651000
9531005352
10230117888
11108993a80
12650960a8
13388a0b40
14227c22c0
1515308128
hexdb75200

230117888 has 160 divisors (see below), whose sum is σ = 618710400. Its totient is φ = 82575360.

The previous prime is 230117879. The next prime is 230117917. The reversal of 230117888 is 888711032.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512288 + ... + 512736.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2230117888 is an apocalyptic number.

230117888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

230117888 is an abundant number, since it is smaller than the sum of its proper divisors (388592512).

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

230117888 is a wasteful number, since it uses less digits than its factorization.

230117888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 230117888 is about 15169.6370424608. The cubic root of 230117888 is about 612.7972295003.

The spelling of 230117888 in words is "two hundred thirty million, one hundred seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 256 286 308 352 364 416 448 449 512 572 616 704 728 832 896 898 1001 1144 1232 1408 1456 1664 1792 1796 2002 2288 2464 2816 2912 3143 3328 3584 3592 4004 4576 4928 4939 5632 5824 5837 6286 6656 7184 8008 9152 9856 9878 11648 11674 12572 14368 16016 18304 19712 19756 23296 23348 25144 28736 32032 34573 36608 39424 39512 40859 46592 46696 50288 57472 64064 64207 69146 73216 79024 81718 93392 100576 114944 128128 128414 138292 158048 163436 186784 201152 229888 256256 256828 276584 316096 326872 373568 402304 449449 512512 513656 553168 632192 653744 747136 804608 898898 1027312 1106336 1264384 1307488 1494272 1609216 1797796 2054624 2212672 2528768 2614976 2988544 3595592 4109248 4425344 5229952 7191184 8218496 8850688 10459904 14382368 16436992 17701376 20919808 28764736 32873984 57529472 115058944 230117888