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234131420200 = 235219922812579
BaseRepresentation
bin1101101000001101010…
…0011111010000101000
3211101100000120110221111
43122003110133100220
512314000120421300
6255320344520104
722625665143466
oct3320324372050
9741300513844
10234131420200
11903270a0397
1239462180034
13191035ca9c2
14b4910cd836
156154b329ba
hex368351f428

234131420200 has 96 divisors (see below), whose sum is σ = 547543080000. Its totient is φ = 93104985600.

The previous prime is 234131420123. The next prime is 234131420209. The reversal of 234131420200 is 2024131432.

It is not an unprimeable number, because it can be changed into a prime (234131420209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90782511 + ... + 90785089.

It is an arithmetic number, because the mean of its divisors is an integer number (5703573750).

Almost surely, 2234131420200 is an apocalyptic number.

234131420200 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 234131420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273771540000).

234131420200 is an abundant number, since it is smaller than the sum of its proper divisors (313411659800).

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

234131420200 is a wasteful number, since it uses less digits than its factorization.

234131420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 234131420200 its reverse (2024131432), we get a palindrome (236155551632).

The spelling of 234131420200 in words is "two hundred thirty-four billion, one hundred thirty-one million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 398 796 995 1592 1990 2281 2579 3980 4562 4975 5158 7960 9124 9950 10316 11405 12895 18248 19900 20632 22810 25790 39800 45620 51580 57025 64475 91240 103160 114050 128950 228100 257900 453919 456200 513221 515800 907838 1026442 1815676 2052884 2269595 2566105 3631352 4105768 4539190 5132210 5882699 9078380 10264420 11347975 11765398 12830525 18156760 20528840 22695950 23530796 25661050 29413495 45391900 47061592 51322100 58826990 90783800 102644200 117653980 147067475 235307960 294134950 588269900 1170657101 1176539800 2341314202 4682628404 5853285505 9365256808 11706571010 23413142020 29266427525 46826284040 58532855050 117065710100 234131420200