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230140401000 = 23353307249881
BaseRepresentation
bin1101011001010101101…
…1111101010101101000
3211000000212202200211120
43112111123331111220
512232311420313000
6253420335255240
722425044063136
oct3262533752550
9730025680746
10230140401000
1189669290614
123872967a520
1318918801c93
14b1d3036756
155ebe5836a0
hex35956fd568

230140401000 has 128 divisors (see below), whose sum is σ = 720379820160. Its totient is φ = 61170624000.

The previous prime is 230140400981. The next prime is 230140401059. The reversal of 230140401000 is 104041032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796060 + ... + 1045940.

It is an arithmetic number, because the mean of its divisors is an integer number (5627967345).

Almost surely, 2230140401000 is an apocalyptic number.

230140401000 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 230140401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360189910080).

230140401000 is an abundant number, since it is smaller than the sum of its proper divisors (490239419160).

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

230140401000 is a wasteful number, since it uses less digits than its factorization.

230140401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250212 (or 250198 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 230140401000 its reverse (104041032), we get a palindrome (230244442032).

The spelling of 230140401000 in words is "two hundred thirty billion, one hundred forty million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 307 375 500 600 614 750 921 1000 1228 1500 1535 1842 2456 3000 3070 3684 4605 6140 7368 7675 9210 12280 15350 18420 23025 30700 36840 38375 46050 61400 76750 92100 115125 153500 184200 230250 249881 307000 460500 499762 749643 921000 999524 1249405 1499286 1999048 2498810 2998572 3748215 4997620 5997144 6247025 7496430 9995240 12494050 14992860 18741075 24988100 29985720 31235125 37482150 49976200 62470250 74964300 76713467 93705375 124940500 149928600 153426934 187410750 230140401 249881000 306853868 374821500 383567335 460280802 613707736 749643000 767134670 920561604 1150702005 1534269340 1841123208 1917836675 2301404010 3068538680 3835673350 4602808020 5753510025 7671346700 9205616040 9589183375 11507020050 15342693400 19178366750 23014040100 28767550125 38356733500 46028080200 57535100250 76713467000 115070200500 230140401000