Search a number
-
+
2303230200 = 233525965063
BaseRepresentation
bin1000100101001000…
…1000000011111000
312221111221012212020
42021102020003320
514204111331300
61020314114440
7111035063565
oct21122100370
95844835766
102303230200
11a82127a37
1254341ba20
132a923650b
1417bc6d86c
15d730d8a0
hex894880f8

2303230200 has 96 divisors (see below), whose sum is σ = 7261142400. Its totient is φ = 603775360.

The previous prime is 2303230147. The next prime is 2303230201. The reversal of 2303230200 is 20323032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2303230200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303230201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2869 + ... + 67931.

It is an arithmetic number, because the mean of its divisors is an integer number (75636900).

Almost surely, 22303230200 is an apocalyptic number.

2303230200 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 2303230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630571200).

2303230200 is an abundant number, since it is smaller than the sum of its proper divisors (4957912200).

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

2303230200 is a wasteful number, since it uses less digits than its factorization.

2303230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65141 (or 65132 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 2303230200 is about 47991.9805800928. The cubic root of 2303230200 is about 1320.6237868995.

Adding to 2303230200 its reverse (20323032), we get a palindrome (2323553232).

The spelling of 2303230200 in words is "two billion, three hundred three million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 150 177 200 236 295 300 354 472 590 600 708 885 1180 1416 1475 1770 2360 2950 3540 4425 5900 7080 8850 11800 17700 35400 65063 130126 195189 260252 325315 390378 520504 650630 780756 975945 1301260 1561512 1626575 1951890 2602520 3253150 3838717 3903780 4879725 6506300 7677434 7807560 9759450 11516151 13012600 15354868 19193585 19518900 23032302 30709736 38387170 39037800 46064604 57580755 76774340 92129208 95967925 115161510 153548680 191935850 230323020 287903775 383871700 460646040 575807550 767743400 1151615100 2303230200