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2315320000 = 265478269
BaseRepresentation
bin1000101000000000…
…1111101011000000
312222100200102221121
42022000033223000
514220210220000
61021425202024
7111242616040
oct21200175300
95870612847
102315320000
11a88a35204
12547490314
132ab8aa346
1417d6d9720
15d83eab1a
hex8a00fac0

2315320000 has 140 divisors (see below), whose sum is σ = 6562211920. Its totient is φ = 793728000.

The previous prime is 2315319983. The next prime is 2315320019. The reversal of 2315320000 is 235132.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 19 ways as a sum of consecutive naturals, for example, 275866 + ... + 284134.

Almost surely, 22315320000 is an apocalyptic number.

2315320000 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 2315320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281105960).

2315320000 is an abundant number, since it is smaller than the sum of its proper divisors (4246891920).

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

2315320000 is an frugal number, since it uses more digits than its factorization.

2315320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8308 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2315320000 is about 48117.7721845058. The cubic root of 2315320000 is about 1322.9304347531.

Adding to 2315320000 its reverse (235132), we get a palindrome (2315555132).

The spelling of 2315320000 in words is "two billion, three hundred fifteen million, three hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8269 8750 10000 11200 14000 16538 17500 20000 28000 33076 35000 40000 41345 56000 57883 66152 70000 82690 115766 132304 140000 165380 206725 231532 264608 280000 289415 330760 413450 463064 529216 578830 661520 826900 926128 1033625 1157660 1323040 1447075 1653800 1852256 2067250 2315320 2646080 2894150 3307600 3704512 4134500 4630640 5168125 5788300 6615200 7235375 8269000 9261280 10336250 11576600 13230400 14470750 16538000 18522560 20672500 23153200 28941500 33076000 36176875 41345000 46306400 57883000 66152000 72353750 82690000 92612800 115766000 144707500 165380000 231532000 289415000 330760000 463064000 578830000 1157660000 2315320000