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230200233111200 = 25521129902038531
BaseRepresentation
bin110100010101110110101011…
…000111110010111010100000
31010012001221001001020210000002
4310111312223013302322200
5220133100034134024300
62133332305511115132
766326263242252362
oct6425665307627240
91105057031223002
10230200233111200
1167392409313490
122199a420372aa8
139b5aa340c8701
1440bba72012d32
151b930829d75d5
hexd15dab1f2ea0

230200233111200 has 144 divisors (see below), whose sum is σ = 634205251078560. Its totient is φ = 80822652288000.

The previous prime is 230200233111181. The next prime is 230200233111203. The reversal of 230200233111200 is 2111332002032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (230200233111203) 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, 450764066 + ... + 451274465.

It is an arithmetic number, because the mean of its divisors is an integer number (4404203132490).

Almost surely, 2230200233111200 is an apocalyptic number.

230200233111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230200233111200 is an abundant number, since it is smaller than the sum of its proper divisors (404005017967360).

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

230200233111200 is a wasteful number, since it uses less digits than its factorization.

230200233111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902038591 (or 902038578 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 230200233111200 its reverse (2111332002032), we get a palindrome (232311565113232).

The spelling of 230200233111200 in words is "two hundred thirty trillion, two hundred billion, two hundred thirty-three million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 80 88 100 110 116 145 160 176 200 220 232 275 290 319 352 400 440 464 550 580 638 725 800 880 928 1100 1160 1276 1450 1595 1760 2200 2320 2552 2900 3190 4400 4640 5104 5800 6380 7975 8800 10208 11600 12760 15950 23200 25520 31900 51040 63800 127600 255200 902038531 1804077062 3608154124 4510192655 7216308248 9020385310 9922423841 14432616496 18040770620 19844847682 22550963275 26159117399 28865232992 36081541240 39689695364 45101926550 49612119205 52318234798 72163082480 79379390728 90203853100 99224238410 104636469596 130795586995 144326164960 158758781456 180407706200 198448476820 209272939192 248060596025 261591173990 287750291389 317517562912 360815412400 396896953640 418545878384 496121192050 523182347980 575500582778 653977934975 721630824800 793793907280 837091756768 992242384100 1046364695960 1151001165556 1307955869950 1438751456945 1587587814560 1984484768200 2092729391920 2302002331112 2615911739900 2877502913890 3968969536400 4185458783840 4604004662224 5231823479800 5755005827780 7193757284725 7937939072800 9208009324448 10463646959600 11510011655560 14387514569450 20927293919200 23020023311120 28775029138900 46040046622240 57550058277800 115100116555600 230200233111200