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230504352 = 25313199721
BaseRepresentation
bin11011011110100…
…11011110100000
3121001201211112020
431233103132200
5433002114402
634512301440
75466153231
oct1557233640
9531654466
10230504352
11109128371
1265241880
13389a7a10
1422883088
15153828bc
hexdbd37a0

230504352 has 96 divisors (see below), whose sum is σ = 685984320. Its totient is φ = 67184640.

The previous prime is 230504347. The next prime is 230504353. The reversal of 230504352 is 253405032.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230504353) 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, 18852 + ... + 28572.

It is an arithmetic number, because the mean of its divisors is an integer number (7145670).

Almost surely, 2230504352 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 230504352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342992160).

230504352 is an abundant number, since it is smaller than the sum of its proper divisors (455479968).

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

230504352 is a wasteful number, since it uses less digits than its factorization.

230504352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9766 (or 9758 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 230504352 is about 15182.3697754995. The cubic root of 230504352 is about 613.1400850957.

Adding to 230504352 its reverse (253405032), we get a palindrome (483909384).

The spelling of 230504352 in words is "two hundred thirty million, five hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 9721 11856 19442 23712 29163 38884 58326 77768 116652 126373 155536 184699 233304 252746 311072 369398 379119 466608 505492 554097 738796 758238 933216 1010984 1108194 1477592 1516476 2021968 2216388 2401087 2955184 3032952 4043936 4432776 4802174 5910368 6065904 7203261 8865552 9604348 12131808 14406522 17731104 19208696 28813044 38417392 57626088 76834784 115252176 230504352