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230456352 = 25371720173
BaseRepresentation
bin11011011110001…
…11110000100000
3121001122101200110
431233013300200
5432444100402
634511251320
75465563260
oct1557076040
9531571613
10230456352
111090a52a5
1265219b40
133898bc09
142286d7a0
151537356c
hexdbc7c20

230456352 has 96 divisors (see below), whose sum is σ = 732074112. Its totient is φ = 61968384.

The previous prime is 230456341. The next prime is 230456357. The reversal of 230456352 is 253654032.

230456352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2304563522 = 106220260354295808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230456357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1338 + ... + 21510.

It is an arithmetic number, because the mean of its divisors is an integer number (7625772).

Almost surely, 2230456352 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 230456352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366037056).

230456352 is an abundant number, since it is smaller than the sum of its proper divisors (501617760).

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

230456352 is a wasteful number, since it uses less digits than its factorization.

230456352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20210 (or 20202 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 230456352 is about 15180.7889123062. The cubic root of 230456352 is about 613.0975222447.

The spelling of 230456352 in words is "two hundred thirty million, four hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 20173 40346 60519 80692 121038 141211 161384 242076 282422 322768 342941 423633 484152 564844 645536 685882 847266 968304 1028823 1129688 1371764 1694532 1936608 2057646 2259376 2400587 2743528 3389064 4115292 4518752 4801174 5487056 6778128 7201761 8230584 9602348 10974112 13556256 14403522 16461168 19204696 28807044 32922336 38409392 57614088 76818784 115228176 230456352