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230132426600 = 235231735910111
BaseRepresentation
bin1101011001010011110…
…1100010011101101000
3211000000022202120000102
43112110331202131220
512232302400122400
6253415452324532
722424616231146
oct3262475423550
9730008676012
10230132426600
11896648342aa
1238726a73748
1318916c6c3bb
14b1d1d5c596
155ebda0a9d5
hex3594f62768

230132426600 has 96 divisors (see below), whose sum is σ = 538294118400. Its totient is φ = 91497926400.

The previous prime is 230132426549. The next prime is 230132426609. The reversal of 230132426600 is 6624231032.

It is not an unprimeable number, because it can be changed into a prime (230132426609) 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, 22755545 + ... + 22765655.

It is an arithmetic number, because the mean of its divisors is an integer number (5607230400).

Almost surely, 2230132426600 is an apocalyptic number.

230132426600 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 230132426600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269147059200).

230132426600 is an abundant number, since it is smaller than the sum of its proper divisors (308161691800).

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

230132426600 is a wasteful number, since it uses less digits than its factorization.

230132426600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10803 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 230132426600 its reverse (6624231032), we get a palindrome (236756657632).

The spelling of 230132426600 in words is "two hundred thirty billion, one hundred thirty-two million, four hundred twenty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 317 359 634 718 1268 1436 1585 1795 2536 2872 3170 3590 6340 7180 7925 8975 10111 12680 14360 15850 17950 20222 31700 35900 40444 50555 63400 71800 80888 101110 113803 202220 227606 252775 404440 455212 505550 569015 910424 1011100 1138030 2022200 2276060 2845075 3205187 3629849 4552120 5690150 6410374 7259698 11380300 12820748 14519396 16025935 18149245 22760600 25641496 29038792 32051870 36298490 64103740 72596980 80129675 90746225 128207480 145193960 160259350 181492450 320518700 362984900 641037400 725969800 1150662133 2301324266 4602648532 5753310665 9205297064 11506621330 23013242660 28766553325 46026485320 57533106650 115066213300 230132426600