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3000230200 = 2352113134357
BaseRepresentation
bin1011001011010011…
…1110000100111000
321202002110111010001
42302310332010320
522121024331300
61213413202344
7134230351552
oct26264760470
97662414101
103000230200
1112aa6083a0
126b89303b4
1338a765256
142066664d2
151285dc16a
hexb2d3e138

3000230200 has 96 divisors (see below), whose sum is σ = 7635738960. Its totient is φ = 1087257600.

The previous prime is 3000230153. The next prime is 3000230203. The reversal of 3000230200 is 20320003.

3000230200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000230203) 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, 686422 + ... + 690778.

Almost surely, 23000230200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817869480).

3000230200 is an abundant number, since it is smaller than the sum of its proper divisors (4635508760).

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

3000230200 is a wasteful number, since it uses less digits than its factorization.

3000230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3000230200 is about 54774.3571390847. The cubic root of 3000230200 is about 1442.2864589029.

Adding to 3000230200 its reverse (20320003), we get a palindrome (3020550203).

The spelling of 3000230200 in words is "three billion, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 313 440 550 626 1100 1252 1565 2200 2504 3130 3443 4357 6260 6886 7825 8714 12520 13772 15650 17215 17428 21785 27544 31300 34430 34856 43570 47927 62600 68860 86075 87140 95854 108925 137720 172150 174280 191708 217850 239635 344300 383416 435700 479270 688600 871400 958540 1198175 1363741 1917080 2396350 2727482 4792700 5454964 6818705 9585400 10909928 13637410 15001151 27274820 30002302 34093525 54549640 60004604 68187050 75005755 120009208 136374100 150011510 272748200 300023020 375028775 600046040 750057550 1500115100 3000230200