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2195650240 = 26572633727
BaseRepresentation
bin1000001011011110…
…1111011011000000
312200000111120220021
42002313233123000
513444041301430
61001512223224
7105260501440
oct20267573300
95600446807
102195650240
11a27429583
1251339ab14
1328cb6a834
1416b868120
15ccb5d07a
hex82def6c0

2195650240 has 112 divisors (see below), whose sum is σ = 5999634432. Its totient is φ = 749730816.

The previous prime is 2195650217. The next prime is 2195650243. The reversal of 2195650240 is 420565912.

It is a happy number.

2195650240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2195650196 and 2195650205.

It is not an unprimeable number, because it can be changed into a prime (2195650243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587257 + ... + 590983.

Almost surely, 22195650240 is an apocalyptic number.

2195650240 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 2195650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999817216).

2195650240 is an abundant number, since it is smaller than the sum of its proper divisors (3803984192).

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

2195650240 is a wasteful number, since it uses less digits than its factorization.

2195650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 2195650240 is about 46857.7660585735. The cubic root of 2195650240 is about 1299.7337206096.

The spelling of 2195650240 in words is "two billion, one hundred ninety-five million, six hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 263 280 320 448 526 560 1052 1120 1315 1841 2104 2240 2630 3682 3727 4208 5260 7364 7454 8416 9205 10520 14728 14908 16832 18410 18635 21040 26089 29456 29816 36820 37270 42080 52178 58912 59632 73640 74540 84160 104356 117824 119264 130445 147280 149080 208712 238528 260890 294560 298160 417424 521780 589120 596320 834848 980201 1043560 1192640 1669696 1960402 2087120 3920804 4174240 4901005 6861407 7841608 8348480 9802010 13722814 15683216 19604020 27445628 31366432 34307035 39208040 54891256 62732864 68614070 78416080 109782512 137228140 156832160 219565024 274456280 313664320 439130048 548912560 1097825120 2195650240