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2230434200 = 2352234571061
BaseRepresentation
bin1000010011110001…
…1011100110011000
312202102221210112002
42010330123212120
514031442343300
61005153540132
7106162243421
oct20474334630
95672853462
102230434200
11a45027255
12522b74648
13297129167
14172320648
15d0c2e5d5
hex84f1b998

2230434200 has 96 divisors (see below), whose sum is σ = 5428179360. Its totient is φ = 850713600.

The previous prime is 2230434179. The next prime is 2230434229. The reversal of 2230434200 is 24340322.

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, 2101670 + ... + 2102730.

It is an arithmetic number, because the mean of its divisors is an integer number (56543535).

Almost surely, 22230434200 is an apocalyptic number.

2230434200 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 2230434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714089680).

2230434200 is an abundant number, since it is smaller than the sum of its proper divisors (3197745160).

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

2230434200 is a wasteful number, since it uses less digits than its factorization.

2230434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1548 counting only the distinct ones).

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

The square root of 2230434200 is about 47227.4729368405. The cubic root of 2230434200 is about 1306.5613447086.

Adding to 2230434200 its reverse (24340322), we get a palindrome (2254774522).

The spelling of 2230434200 in words is "two billion, two hundred thirty million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 457 460 575 914 920 1061 1150 1828 2122 2285 2300 3656 4244 4570 4600 5305 8488 9140 10511 10610 11425 18280 21022 21220 22850 24403 26525 42044 42440 45700 48806 52555 53050 84088 91400 97612 105110 106100 122015 195224 210220 212200 244030 262775 420440 484877 488060 525550 610075 969754 976120 1051100 1220150 1939508 2102200 2424385 2440300 3879016 4848770 4880600 9697540 11152171 12121925 19395080 22304342 24243850 44608684 48487700 55760855 89217368 96975400 111521710 223043420 278804275 446086840 557608550 1115217100 2230434200