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2303120000 = 275428789
BaseRepresentation
bin1000100101000110…
…1101001010000000
312221111201121200202
42021101231022000
514204044320000
61020311504332
7111034124366
oct21121551200
95844647622
102303120000
11a82062165
125433880a8
132a91c82cc
1417bc41636
15d72dadd5
hex8946d280

2303120000 has 80 divisors (see below), whose sum is σ = 5733672450. Its totient is φ = 921216000.

The previous prime is 2303119963. The next prime is 2303120023. The reversal of 2303120000 is 213032.

It can be written as a sum of positive squares in 5 ways, for example, as 233233984 + 2069886016 = 15272^2 + 45496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 65606 + ... + 94394.

Almost surely, 22303120000 is an apocalyptic number.

2303120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866836225).

2303120000 is an abundant number, since it is smaller than the sum of its proper divisors (3430552450).

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

2303120000 is an frugal number, since it uses more digits than its factorization.

2303120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28823 (or 28796 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2303120000 is about 47990.8324578768. The cubic root of 2303120000 is about 1320.6027244424.

Adding to 2303120000 its reverse (213032), we get a palindrome (2303333032).

The spelling of 2303120000 in words is "two billion, three hundred three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 28789 40000 57578 80000 115156 143945 230312 287890 460624 575780 719725 921248 1151560 1439450 1842496 2303120 2878900 3598625 3684992 4606240 5757800 7197250 9212480 11515600 14394500 17993125 18424960 23031200 28789000 35986250 46062400 57578000 71972500 92124800 115156000 143945000 230312000 287890000 460624000 575780000 1151560000 2303120000