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2300144240 = 245191150533
BaseRepresentation
bin1000100100011001…
…0110101001110000
312221022010102201102
42021012112221300
514202314103430
61020124023532
7110666621612
oct21106265160
95838112642
102300144240
11a8040a459
12542391ba8
132a86c59c4
1417b6a8db2
15d6dee345
hex89196a70

2300144240 has 40 divisors (see below), whose sum is σ = 5375870208. Its totient is φ = 915234560.

The previous prime is 2300144221. The next prime is 2300144281. The reversal of 2300144240 is 424410032.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 59987 + ... + 90546.

Almost surely, 22300144240 is an apocalyptic number.

2300144240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300144240 is an abundant number, since it is smaller than the sum of its proper divisors (3075725968).

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

2300144240 is a wasteful number, since it uses less digits than its factorization.

2300144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150737 (or 150731 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2300144240 is about 47959.8190155051. The cubic root of 2300144240 is about 1320.0337150862.

Adding to 2300144240 its reverse (424410032), we get a palindrome (2724554272).

The spelling of 2300144240 in words is "two billion, three hundred million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 3056 3820 7640 15280 150533 301066 602132 752665 1204264 1505330 2408528 3010660 6021320 12042640 28751803 57503606 115007212 143759015 230014424 287518030 460028848 575036060 1150072120 2300144240