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230112545200 = 24524767182687
BaseRepresentation
bin1101011001001111000…
…1101100100110110000
3210222221221100110212021
43112103301230212300
512232232302421300
6253413502241224
722424255234656
oct3262361544660
9728857313767
10230112545200
118965459509a
1238720286214
1318912acac65
14b1cd464dd6
155ebbdced1a
hex3593c6c9b0

230112545200 has 120 divisors (see below), whose sum is σ = 573038180352. Its totient is φ = 88741551360.

The previous prime is 230112545189. The next prime is 230112545203. The reversal of 230112545200 is 2545211032.

230112545200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (230112545203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168257 + ... + 1350943.

Almost surely, 2230112545200 is an apocalyptic number.

230112545200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230112545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286519090176).

230112545200 is an abundant number, since it is smaller than the sum of its proper divisors (342925635152).

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

230112545200 is a wasteful number, since it uses less digits than its factorization.

230112545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182819 (or 182808 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 230112545200 its reverse (2545211032), we get a palindrome (232657756232).

The spelling of 230112545200 in words is "two hundred thirty billion, one hundred twelve million, five hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 67 80 94 100 134 188 200 235 268 335 376 400 470 536 670 752 940 1072 1175 1340 1675 1880 2350 2680 3149 3350 3760 4700 5360 6298 6700 9400 12596 13400 15745 18800 25192 26800 31490 50384 62980 78725 125960 157450 182687 251920 314900 365374 629800 730748 913435 1259600 1461496 1826870 2922992 3653740 4567175 7307480 8586289 9134350 12240029 14614960 17172578 18268700 24480058 34345156 36537400 42931445 48960116 61200145 68690312 73074800 85862890 97920232 122400290 137380624 171725780 195840464 214657225 244800580 306000725 343451560 429314450 489601160 575281363 612001450 686903120 858628900 979202320 1150562726 1224002900 1717257800 2301125452 2448005800 2876406815 3434515600 4602250904 4896011600 5752813630 9204501808 11505627260 14382034075 23011254520 28764068150 46022509040 57528136300 115056272600 230112545200