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230290128 = 243561971
BaseRepresentation
bin11011011100111…
…11001011010000
3121001022221200000
431232133023100
5432423241003
634503530000
75464301535
oct1556371320
9531287600
10230290128
11108aa1422
1265159900
1338931363
1422828d8c
151533e1a3
hexdb9f2d0

230290128 has 120 divisors (see below), whose sum is σ = 680018976. Its totient is φ = 75427200.

The previous prime is 230290121. The next prime is 230290129. The reversal of 230290128 is 821092032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230290121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236683 + ... + 237653.

Almost surely, 2230290128 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 230290128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340009488).

230290128 is an abundant number, since it is smaller than the sum of its proper divisors (449728848).

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

230290128 is an equidigital number, since it uses as much as digits as its factorization.

230290128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 230290128 is about 15175.3131104436. The cubic root of 230290128 is about 612.9500814043.

The spelling of 230290128 in words is "two hundred thirty million, two hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 243 244 324 366 432 486 488 549 648 732 971 972 976 1098 1296 1464 1647 1942 1944 2196 2913 2928 3294 3884 3888 4392 4941 5826 6588 7768 8739 8784 9882 11652 13176 14823 15536 17478 19764 23304 26217 26352 29646 34956 39528 46608 52434 59231 59292 69912 78651 79056 104868 118462 118584 139824 157302 177693 209736 235953 236924 237168 314604 355386 419472 471906 473848 533079 629208 710772 943812 947696 1066158 1258416 1421544 1599237 1887624 2132316 2843088 3198474 3775248 4264632 4797711 6396948 8529264 9595422 12793896 14393133 19190844 25587792 28786266 38381688 57572532 76763376 115145064 230290128