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230202023231000 = 2353678741393073
BaseRepresentation
bin110100010101111000010101…
…110100100011111000011000
31010012002002122210200021201102
4310111320111310203320120
5220133112220421343000
62133333203255410532
766326355510106502
oct6425702564437030
91105062583607642
10230202023231000
1167393147839a37
122199a83b983a48
139b5ac5ac395b2
1440bbba1a76d72
151b93139c3d3d5
hexd15e15d23e18

230202023231000 has 128 divisors (see below), whose sum is σ = 546776562720960. Its totient is φ = 90695860992000.

The previous prime is 230202023230931. The next prime is 230202023231039. The reversal of 230202023231000 is 132320202032.

It is a super-2 number, since 2×2302020232310002 (a number of 30 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 585450464 + ... + 585843536.

Almost surely, 2230202023231000 is an apocalyptic number.

230202023231000 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 230202023231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273388281360480).

230202023231000 is an abundant number, since it is smaller than the sum of its proper divisors (316574539489960).

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

230202023231000 is a wasteful number, since it uses less digits than its factorization.

230202023231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401902 (or 401888 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 230202023231000 its reverse (132320202032), we get a palindrome (230334343433032).

The spelling of 230202023231000 in words is "two hundred thirty trillion, two hundred two billion, twenty-three million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1675 2680 3350 6700 8375 8741 13400 16750 17482 33500 34964 43705 67000 69928 87410 174820 218525 349640 393073 437050 585647 786146 874100 1092625 1171294 1572292 1748200 1965365 2185250 2342588 2928235 3144584 3930730 4370500 4685176 5856470 7861460 8741000 9826825 11712940 14641175 15722920 19653650 23425880 26335891 29282350 39307300 49134125 52671782 58564700 73205875 78614600 98268250 105343564 117129400 131679455 146411750 196536500 210687128 263358910 292823500 393073000 526717820 585647000 658397275 1053435640 1316794550 2633589100 3291986375 3435851093 5267178200 6583972750 6871702186 13167945500 13743404372 17179255465 26335891000 27486808744 34358510930 68717021860 85896277325 137434043720 171792554650 230202023231 343585109300 429481386625 460404046462 687170218600 858962773250 920808092924 1151010116155 1717925546500 1841616185848 2302020232310 3435851093000 4604040464620 5755050580775 9208080929240 11510101161550 23020202323100 28775252903875 46040404646200 57550505807750 115101011615500 230202023231000