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2180000000 = 2857109
BaseRepresentation
bin1000000111110000…
…0010100100000000
312121221001110210202
42001330002210000
513431040000000
61000152544332
7105010460063
oct20174024400
95557043722
102180000000
11a1960a2a2
1250a0b20a8
1328984b239
141697528da
15cb5badd5
hex81f02900

2180000000 has 144 divisors (see below), whose sum is σ = 5489243760. Its totient is φ = 864000000.

The previous prime is 2179999973. The next prime is 2180000029. The reversal of 2180000000 is 812.

It can be written as a sum of positive squares in 8 ways, for example, as 1856575744 + 323424256 = 43088^2 + 17984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19999946 + ... + 20000054.

Almost surely, 22180000000 is an apocalyptic number.

2180000000 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 2180000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744621880).

2180000000 is an abundant number, since it is smaller than the sum of its proper divisors (3309243760).

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

2180000000 is an frugal number, since it uses more digits than its factorization.

2180000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2180000000 is about 46690.4701197150. The cubic root of 2180000000 is about 1296.6382569742.

Adding to 2180000000 its reverse (812), we get a palindrome (2180000812).

The spelling of 2180000000 in words is "two billion, one hundred eighty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 125 128 160 200 218 250 256 320 400 436 500 545 625 640 800 872 1000 1090 1250 1280 1600 1744 2000 2180 2500 2725 3125 3200 3488 4000 4360 5000 5450 6250 6400 6976 8000 8720 10000 10900 12500 13625 13952 15625 16000 17440 20000 21800 25000 27250 27904 31250 32000 34880 40000 43600 50000 54500 62500 68125 69760 78125 80000 87200 100000 109000 125000 136250 139520 156250 160000 174400 200000 218000 250000 272500 312500 340625 348800 400000 436000 500000 545000 625000 681250 697600 800000 872000 1000000 1090000 1250000 1362500 1703125 1744000 2000000 2180000 2500000 2725000 3406250 3488000 4000000 4360000 5000000 5450000 6812500 8515625 8720000 10000000 10900000 13625000 17031250 17440000 20000000 21800000 27250000 34062500 43600000 54500000 68125000 87200000 109000000 136250000 218000000 272500000 436000000 545000000 1090000000 2180000000