Search a number
-
+
2157800820 = 2235717302213
BaseRepresentation
bin1000000010011101…
…0110110101110100
312120101021122020220
42000213112311310
513404344111240
6554041054340
7104321001330
oct20047266564
95511248226
102157800820
11a0802776a
125027873b0
13285077b26
141668147c0
15c96835d0
hex809d6d74

2157800820 has 96 divisors (see below), whose sum is σ = 7311161088. Its totient is φ = 464197632.

The previous prime is 2157800783. The next prime is 2157800863. The reversal of 2157800820 is 280087512.

It is a super-2 number, since 2×21578008202 = 9312208757585344800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143967 + ... + 158246.

It is an arithmetic number, because the mean of its divisors is an integer number (76157928).

Almost surely, 22157800820 is an apocalyptic number.

2157800820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2157800820 is an abundant number, since it is smaller than the sum of its proper divisors (5153360268).

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

2157800820 is a wasteful number, since it uses less digits than its factorization.

2157800820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302249 (or 302247 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 2157800820 is about 46452.1347195153. The cubic root of 2157800820 is about 1292.2219622998.

The spelling of 2157800820 in words is "two billion, one hundred fifty-seven million, eight hundred thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 302213 604426 906639 1208852 1511065 1813278 2115491 3022130 3626556 4230982 4533195 5137621 6044260 6346473 8461964 9066390 10275242 10577455 12692946 15412863 18132780 20550484 21154910 25385892 25688105 30825726 31732365 35963347 42309820 51376210 61651452 63464730 71926694 77064315 102752420 107890041 126929460 143853388 154128630 179816735 215780082 308257260 359633470 431560164 539450205 719266940 1078900410 2157800820