Search a number
-
+
2300454200 = 2352113189379
BaseRepresentation
bin1000100100011110…
…0010010100111000
312221022201011220102
42021013202110320
514202404013300
61020134414532
7111002352362
oct21107422470
95838634812
102300454200
11a80601320
12542501448
132a87a3b05
1417b749d32
15d6e610d5
hex891e2538

2300454200 has 192 divisors, whose sum is σ = 6106752000. Its totient is φ = 798336000.

The previous prime is 2300454157. The next prime is 2300454209. The reversal of 2300454200 is 24540032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300454209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6069611 + ... + 6069989.

It is an arithmetic number, because the mean of its divisors is an integer number (31806000).

Almost surely, 22300454200 is an apocalyptic number.

2300454200 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 2300454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053376000).

2300454200 is an abundant number, since it is smaller than the sum of its proper divisors (3806297800).

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

2300454200 is a wasteful number, since it uses less digits than its factorization.

2300454200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2300454200 is about 47963.0503617107. The cubic root of 2300454200 is about 1320.0930069146.

Adding to 2300454200 its reverse (24540032), we get a palindrome (2324994232).

The spelling of 2300454200 in words is "two billion, three hundred million, four hundred fifty-four thousand, two hundred".