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230232440303200 = 25523676911113467
BaseRepresentation
bin110100010110010100101010…
…110100011110111001100000
31010012012000011121202122121001
4310112110222310132321200
5220134112014204200300
62133355153431041344
766331513333003336
oct6426245264367140
91105160147678531
10230232440303200
11673a5036449535
12219a470a510254
139b60a9783c87a
1440bd44964bb56
151b93d1a29e16a
hexd1652ad1ee60

230232440303200 has 144 divisors (see below), whose sum is σ = 563672946622464. Its totient is φ = 91827943027200.

The previous prime is 230232440303167. The next prime is 230232440303237. The reversal of 230232440303200 is 2303044232032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2029012867 + ... + 2029126333.

It is an arithmetic number, because the mean of its divisors is an integer number (3914395462656).

Almost surely, 2230232440303200 is an apocalyptic number.

230232440303200 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 230232440303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281836473311232).

230232440303200 is an abundant number, since it is smaller than the sum of its proper divisors (333440506319264).

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

230232440303200 is a wasteful number, since it uses less digits than its factorization.

230232440303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120765 (or 120752 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 230232440303200 its reverse (2303044232032), we get a palindrome (232535484535232).

The spelling of 230232440303200 in words is "two hundred thirty trillion, two hundred thirty-two billion, four hundred forty million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 367 400 734 800 1468 1835 2936 3670 5872 6911 7340 9175 11744 13822 14680 18350 27644 29360 34555 36700 55288 58720 69110 73400 110576 113467 138220 146800 172775 221152 226934 276440 293600 345550 453868 552880 567335 691100 907736 1105760 1134670 1382200 1815472 2269340 2536337 2764400 2836675 3630944 4538680 5072674 5528800 5673350 9077360 10145348 11346700 12681685 18154720 20290696 22693400 25363370 40581392 41642389 45386800 50726740 63408425 81162784 83284778 90773600 101453480 126816850 166569556 202906960 208211945 253633700 333139112 405813920 416423890 507267400 666278224 784170437 832847780 1014534800 1041059725 1332556448 1568340874 1665695560 2029069600 2082119450 3136681748 3331391120 3920852185 4164238900 6273363496 6662782240 7841704370 8328477800 12546726992 15683408740 16656955600 19604260925 25093453984 31366817480 33313911200 39208521850 62733634960 78417043700 125467269920 156834087400 287790550379 313668174800 575581100758 627336349600 1151162201516 1438952751895 2302324403032 2877905503790 4604648806064 5755811007580 7194763759475 9209297612128 11511622015160 14389527518950 23023244030320 28779055037900 46046488060640 57558110075800 115116220151600 230232440303200