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2239984000 = 2753139999
BaseRepresentation
bin1000010110000011…
…0111000110000000
312210002220222101101
42011200313012000
514041413442000
61010134344144
7106336356412
oct20540670600
95702828341
102239984000
11a4a45a151
125261bb054
132990c0b27
141736c89b2
15d19b8e6a
hex85837180

2239984000 has 64 divisors (see below), whose sum is σ = 5569200000. Its totient is φ = 895987200.

The previous prime is 2239983973. The next prime is 2239984001. The reversal of 2239984000 is 4899322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2239984001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54000 + ... + 85999.

It is an arithmetic number, because the mean of its divisors is an integer number (87018750).

Almost surely, 22239984000 is an apocalyptic number.

2239984000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2239984000 is an abundant number, since it is smaller than the sum of its proper divisors (3329216000).

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

2239984000 is an equidigital number, since it uses as much as digits as its factorization.

2239984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140028 (or 140006 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 2239984000 is about 47328.4692336441. The cubic root of 2239984000 is about 1308.4234087668.

The spelling of 2239984000 in words is "two billion, two hundred thirty-nine million, nine hundred eighty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 139999 279998 559996 699995 1119992 1399990 2239984 2799980 3499975 4479968 5599960 6999950 8959936 11199920 13999900 17499875 17919872 22399840 27999800 34999750 44799680 55999600 69999500 89599360 111999200 139999000 223998400 279998000 447996800 559996000 1119992000 2239984000