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230693736 = 233713531993
BaseRepresentation
bin11011100000000…
…01101101101000
3121002002110022110
431300001231220
5433024144421
634520322320
75500602330
oct1560015550
9532073273
10230693736
11109247689
12653133a0
1338a42c90
14228d20c0
15153bda76
hexdc01b68

230693736 has 128 divisors (see below), whose sum is σ = 723582720. Its totient is φ = 59664384.

The previous prime is 230693677. The next prime is 230693741. The reversal of 230693736 is 637396032.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 230693694 and 230693703.

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, 114756 + ... + 116748.

It is an arithmetic number, because the mean of its divisors is an integer number (5652990).

Almost surely, 2230693736 is an apocalyptic number.

230693736 is a gapful number since it is divisible by the number (26) 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 230693736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361791360).

230693736 is an abundant number, since it is smaller than the sum of its proper divisors (492888984).

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

230693736 is a wasteful number, since it uses less digits than its factorization.

230693736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 39.

The square root of 230693736 is about 15188.6054659406. The cubic root of 230693736 is about 613.3079592002.

The spelling of 230693736 in words is "two hundred thirty million, six hundred ninety-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 53 56 78 84 91 104 106 156 159 168 182 212 273 312 318 364 371 424 546 636 689 728 742 1092 1113 1272 1378 1484 1993 2067 2184 2226 2756 2968 3986 4134 4452 4823 5512 5979 7972 8268 8904 9646 11958 13951 14469 15944 16536 19292 23916 25909 27902 28938 38584 41853 47832 51818 55804 57876 77727 83706 103636 105629 111608 115752 155454 167412 181363 207272 211258 310908 316887 334824 362726 422516 544089 621816 633774 725452 739403 845032 1088178 1267548 1373177 1450904 1478806 2176356 2218209 2535096 2746354 2957612 4119531 4352712 4436418 5492708 5915224 8239062 8872836 9612239 10985416 16478124 17745672 19224478 28836717 32956248 38448956 57673434 76897912 115346868 230693736