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2300144 = 247111867
BaseRepresentation
bin1000110001100011110000
311022212012112
420301203300
51042101034
6121144452
725356650
oct10614360
94285175
102300144
111331150
1292b128
13626c42
1443c360
153067ce
hex2318f0

2300144 has 40 divisors (see below), whose sum is σ = 5559168. Its totient is φ = 895680.

The previous prime is 2300143. The next prime is 2300149. The reversal of 2300144 is 4410032.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299 + ... + 2165.

22300144 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 2300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779584).

2300144 is an abundant number, since it is smaller than the sum of its proper divisors (3259024).

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

2300144 is a wasteful number, since it uses less digits than its factorization.

2300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2300144 is about 1516.6225634613. The cubic root of 2300144 is about 132.0033669175.

Adding to 2300144 its reverse (4410032), we get a palindrome (6710176).

The spelling of 2300144 in words is "two million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1867 3734 7468 13069 14936 20537 26138 29872 41074 52276 82148 104552 143759 164296 209104 287518 328592 575036 1150072 2300144