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2300004144 = 243215972251
BaseRepresentation
bin1000100100010111…
…0100011100110000
312221021212022112200
42021011310130300
514202300113034
61020121023200
7110665466304
oct21105643460
95837768480
102300004144
11a80324179
12542324b00
132a8676cc9
1417b66dd04
15d6dc2a99
hex89174730

2300004144 has 30 divisors (see below), whose sum is σ = 6436817556. Its totient is φ = 766668000.

The previous prime is 2300004107. The next prime is 2300004149. The reversal of 2300004144 is 4414000032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2300004149) 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 5 ways as a sum of consecutive naturals, for example, 7985982 + ... + 7986269.

Almost surely, 22300004144 is an apocalyptic number.

2300004144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2300004144 is an abundant number, since it is smaller than the sum of its proper divisors (4136813412).

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

2300004144 is a wasteful number, since it uses less digits than its factorization.

2300004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15972265 (or 15972256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2300004144 is about 47958.3584372943. The cubic root of 2300004144 is about 1320.0069145643.

Adding to 2300004144 its reverse (4414000032), we get a palindrome (6714004176).

The spelling of 2300004144 in words is "two billion, three hundred million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15972251 31944502 47916753 63889004 95833506 127778008 143750259 191667012 255556016 287500518 383334024 575001036 766668048 1150002072 2300004144