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2320201824 = 25324168769
BaseRepresentation
bin1000101001001011…
…0111100001100000
312222200212110112220
42022102313201200
514222432424244
61022121551040
7111332250543
oct21222674140
95880773486
102320201824
11a90769a76
12549045480
132ac8c93b5
1418020a85a
15d8a62319
hex8a4b7860

2320201824 has 24 divisors (see below), whose sum is σ = 6090530040. Its totient is φ = 773400576.

The previous prime is 2320201799. The next prime is 2320201841. The reversal of 2320201824 is 4281020232.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2320201794 and 2320201803.

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 3 ways as a sum of consecutive naturals, for example, 12084289 + ... + 12084480.

It is an arithmetic number, because the mean of its divisors is an integer number (253772085).

Almost surely, 22320201824 is an apocalyptic number.

2320201824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2320201824 is an abundant number, since it is smaller than the sum of its proper divisors (3770328216).

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

2320201824 is a wasteful number, since it uses less digits than its factorization.

2320201824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24168782 (or 24168774 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2320201824 is about 48168.4733409727. The cubic root of 2320201824 is about 1323.8595762634.

The spelling of 2320201824 in words is "two billion, three hundred twenty million, two hundred one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 24168769 48337538 72506307 96675076 145012614 193350152 290025228 386700304 580050456 773400608 1160100912 2320201824