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230127326700 = 223524789183383
BaseRepresentation
bin1101011001010010101…
…0000101010111101100
3210222222222011110021020
43112110222011113230
512232300043423300
6253415151134140
722424525000505
oct3262452052754
9728888143236
10230127326700
1189661970707
1238725214350
1318915ba4ccb
14b1d13d1bac
155ebd34e8a0
hex3594a855ec

230127326700 has 144 divisors (see below), whose sum is σ = 687645987840. Its totient is φ = 59386426880.

The previous prime is 230127326677. The next prime is 230127326713. The reversal of 230127326700 is 7623721032.

230127326700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1163209 + ... + 1346591.

It is an arithmetic number, because the mean of its divisors is an integer number (4775319360).

Almost surely, 2230127326700 is an apocalyptic number.

230127326700 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 230127326700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343822993920).

230127326700 is an abundant number, since it is smaller than the sum of its proper divisors (457518661140).

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

230127326700 is a wasteful number, since it uses less digits than its factorization.

230127326700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183536 (or 183529 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 230127326700 in words is "two hundred thirty billion, one hundred twenty-seven million, three hundred twenty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 89 94 100 141 150 178 188 235 267 282 300 356 445 470 534 564 705 890 940 1068 1175 1335 1410 1780 2225 2350 2670 2820 3525 4183 4450 4700 5340 6675 7050 8366 8900 12549 13350 14100 16732 20915 25098 26700 41830 50196 62745 83660 104575 125490 183383 209150 250980 313725 366766 418300 550149 627450 733532 916915 1100298 1254900 1833830 2200596 2750745 3667660 4584575 5501490 8619001 9169150 11002980 13753725 16321087 17238002 18338300 25857003 27507450 32642174 34476004 43095005 48963261 51714006 55014900 65284348 81605435 86190010 97926522 103428012 129285015 163210870 172380020 195853044 215475025 244816305 258570030 326421740 408027175 430950050 489632610 517140060 646425075 767091089 816054350 861900100 979265220 1224081525 1292850150 1534182178 1632108700 2301273267 2448163050 2585700300 3068364356 3835455445 4602546534 4896326100 7670910890 9205093068 11506366335 15341821780 19177277225 23012732670 38354554450 46025465340 57531831675 76709108900 115063663350 230127326700