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2197990440 = 2332522212749
BaseRepresentation
bin1000001100000010…
…1010110000101000
312200011220111001100
42003000222300220
514000141143230
61002034321400
7105316416252
oct20300526050
95604814040
102197990440
11a28787828
12514129260
132904a9a79
1416bcb6cd2
15cce71660
hex8302ac28

2197990440 has 96 divisors (see below), whose sum is σ = 7149285000. Its totient is φ = 585653760.

The previous prime is 2197990411. The next prime is 2197990447. The reversal of 2197990440 is 440997912.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1519596324 + 678394116 = 38982^2 + 26046^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2197990447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798186 + ... + 800934.

Almost surely, 22197990440 is an apocalyptic number.

2197990440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2197990440 is an abundant number, since it is smaller than the sum of its proper divisors (4951294560).

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

2197990440 is a wasteful number, since it uses less digits than its factorization.

2197990440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2197990440 is about 46882.7307225166. The cubic root of 2197990440 is about 1300.1953237085.

The spelling of 2197990440 in words is "two billion, one hundred ninety-seven million, nine hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2221 2749 4442 5498 6663 8247 8884 10996 11105 13326 13745 16494 17768 19989 21992 22210 24741 26652 27490 32988 33315 39978 41235 44420 49482 53304 54980 65976 66630 79956 82470 88840 98964 99945 109960 123705 133260 159912 164940 197928 199890 247410 266520 329880 399780 494820 799560 989640 6105529 12211058 18316587 24422116 30527645 36633174 48844232 54949761 61055290 73266348 91582935 109899522 122110580 146532696 183165870 219799044 244221160 274748805 366331740 439598088 549497610 732663480 1098995220 2197990440