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230425728 = 27313311489
BaseRepresentation
bin11011011110000…
…00010010000000
3121001120211200020
431233000102000
5432442110403
634510453440
75465405061
oct1557002200
9531524606
10230425728
11109084295
1265204280
133897acb0
1422862568
1515369453
hexdbc0480

230425728 has 128 divisors (see below), whose sum is σ = 680870400. Its totient is φ = 68567040.

The previous prime is 230425703. The next prime is 230425733. The reversal of 230425728 is 827524032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2304257282 = 106192032248659968, which contains 22 as substring.

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, 154008 + ... + 155496.

It is an arithmetic number, because the mean of its divisors is an integer number (5319300).

Almost surely, 2230425728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340435200).

230425728 is an abundant number, since it is smaller than the sum of its proper divisors (450444672).

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

230425728 is a wasteful number, since it uses less digits than its factorization.

230425728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 230425728 is about 15179.7802355634. The cubic root of 230425728 is about 613.0703640575.

The spelling of 230425728 in words is "two hundred thirty million, four hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1489 1612 1664 1984 2418 2496 2976 2978 3224 3968 4467 4836 4992 5952 5956 6448 8934 9672 11904 11912 12896 17868 19344 19357 23824 25792 35736 38688 38714 46159 47648 51584 58071 71472 77376 77428 92318 95296 116142 138477 142944 154752 154856 184636 190592 232284 276954 285888 309712 369272 464568 553908 571776 600067 619424 738544 929136 1107816 1200134 1238848 1477088 1800201 1858272 2215632 2400268 2477696 2954176 3600402 3716544 4431264 4800536 5908352 7200804 7433088 8862528 9601072 14401608 17725056 19202144 28803216 38404288 57606432 76808576 115212864 230425728