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20430234200 = 2352832235519
BaseRepresentation
bin10011000001101111…
…001010001001011000
31221201211002102121202
4103001233022021120
5313320114443300
613215134453332
71322165061005
oct230157121130
957654072552
1020430234200
118734375382
123b62064248
131c0787399c
14dbb4ba8ac
157e8902ad5
hex4c1bca258

20430234200 has 96 divisors (see below), whose sum is σ = 48296908800. Its totient is φ = 8035973760.

The previous prime is 20430234193. The next prime is 20430234221. The reversal of 20430234200 is 243203402.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3699041 + ... + 3704559.

It is an arithmetic number, because the mean of its divisors is an integer number (503092800).

Almost surely, 220430234200 is an apocalyptic number.

20430234200 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 20430234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24148454400).

20430234200 is an abundant number, since it is smaller than the sum of its proper divisors (27866674600).

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

20430234200 is a wasteful number, since it uses less digits than its factorization.

20430234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 20430234200 its reverse (243203402), we get a palindrome (20673437602).

The spelling of 20430234200 in words is "twenty billion, four hundred thirty million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 223 332 415 446 664 830 892 1115 1660 1784 2075 2230 3320 4150 4460 5519 5575 8300 8920 11038 11150 16600 18509 22076 22300 27595 37018 44152 44600 55190 74036 92545 110380 137975 148072 185090 220760 275950 370180 458077 462725 551900 740360 916154 925450 1103800 1230737 1832308 1850900 2290385 2461474 3664616 3701800 4580770 4922948 6153685 9161540 9845896 11451925 12307370 18323080 22903850 24614740 30768425 45807700 49229480 61536850 91615400 102151171 123073700 204302342 246147400 408604684 510755855 817209368 1021511710 2043023420 2553779275 4086046840 5107558550 10215117100 20430234200