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230510736 = 243219173487
BaseRepresentation
bin11011011110101…
…01000010010000
3121001202011021200
431233111002100
5433002320421
634512351200
75466210651
oct1557250220
9531664250
10230510736
11109132145
1265245500
13389aa8b1
1422885528
1515384726
hexdbd5090

230510736 has 120 divisors (see below), whose sum is σ = 684390720. Its totient is φ = 72223488.

The previous prime is 230510729. The next prime is 230510737. The reversal of 230510736 is 637015032.

It is a happy number.

It is a super-2 number, since 2×2305107362 = 106270398822523392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230510737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473085 + ... + 473571.

It is an arithmetic number, because the mean of its divisors is an integer number (5703256).

Almost surely, 2230510736 is an apocalyptic number.

230510736 is the 8766-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230510736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342195360).

230510736 is an abundant number, since it is smaller than the sum of its proper divisors (453879984).

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

230510736 is a wasteful number, since it uses less digits than its factorization.

230510736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 230510736 is about 15182.5800179021. The cubic root of 230510736 is about 613.1457455097.

Adding to 230510736 its reverse (637015032), we get a palindrome (867525768).

It can be divided in two parts, 2305 and 10736, that added together give a triangular number (13041 = T161).

The spelling of 230510736 in words is "two hundred thirty million, five hundred ten thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 173 228 304 342 346 456 487 519 684 692 912 974 1038 1368 1384 1461 1557 1948 2076 2736 2768 2922 3114 3287 3896 4152 4383 5844 6228 6574 7792 8304 8766 9253 9861 11688 12456 13148 17532 18506 19722 23376 24912 26296 27759 29583 35064 37012 39444 52592 55518 59166 70128 74024 78888 83277 84251 111036 118332 148048 157776 166554 168502 222072 236664 252753 333108 337004 444144 473328 505506 666216 674008 758259 1011012 1332432 1348016 1516518 1600769 2022024 3033036 3201538 4044048 4802307 6066072 6403076 9604614 12132144 12806152 14406921 19209228 25612304 28813842 38418456 57627684 76836912 115255368 230510736