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230837472 = 253353712
BaseRepresentation
bin11011100001001…
…00110011100000
3121002100202111000
431300210303200
5433043244342
634523352000
75502041355
oct1560446340
9532322430
10230837472
11109335678
1265382600
1338a93528
142292c62c
15153eb44c
hexdc24ce0

230837472 has 144 divisors (see below), whose sum is σ = 695777040. Its totient is φ = 74430720.

The previous prime is 230837471. The next prime is 230837473. The reversal of 230837472 is 274738032.

It is an interprime number because it is at equal distance from previous prime (230837471) and next prime (230837473).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230837471) 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, 3251197 + ... + 3251267.

It is an arithmetic number, because the mean of its divisors is an integer number (4831785).

Almost surely, 2230837472 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 230837472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347888520).

230837472 is an abundant number, since it is smaller than the sum of its proper divisors (464939568).

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

230837472 is an equidigital number, since it uses as much as digits as its factorization.

230837472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 230837472 is about 15193.3364341082. The cubic root of 230837472 is about 613.4353086061.

The spelling of 230837472 in words is "two hundred thirty million, eight hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 71 72 96 106 108 142 144 159 212 213 216 284 288 318 424 426 432 477 568 636 639 848 852 864 954 1136 1272 1278 1431 1696 1704 1908 1917 2272 2544 2556 2862 3408 3763 3816 3834 5041 5088 5112 5724 6816 7526 7632 7668 10082 10224 11289 11448 15052 15123 15264 15336 20164 20448 22578 22896 30104 30246 30672 33867 40328 45156 45369 45792 60208 60492 61344 67734 80656 90312 90738 101601 120416 120984 135468 136107 161312 180624 181476 203202 241968 267173 270936 272214 361248 362952 406404 483936 534346 541872 544428 725904 801519 812808 1068692 1083744 1088856 1451808 1603038 1625616 2137384 2177712 2404557 3206076 3251232 4274768 4355424 4809114 6412152 7213671 8549536 9618228 12824304 14427342 19236456 25648608 28854684 38472912 57709368 76945824 115418736 230837472