Search a number
-
+
2199993900 = 22352131573593
BaseRepresentation
bin1000001100100001…
…0011111000101100
312200022200021021120
42003020103320230
514001144301100
61002145300540
7105342432246
oct20310237054
95608607246
102199993900
11a29925a85
12514934750
13290a2b950
1416c279096
15cd21a0a0
hex83213e2c

2199993900 has 144 divisors (see below), whose sum is σ = 6900537504. Its totient is φ = 537937920.

The previous prime is 2199993899. The next prime is 2199993931. The reversal of 2199993900 is 93999912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610504 + ... + 614096.

Almost surely, 22199993900 is an apocalyptic number.

2199993900 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 2199993900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450268752).

2199993900 is an abundant number, since it is smaller than the sum of its proper divisors (4700543604).

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

2199993900 is a wasteful number, since it uses less digits than its factorization.

2199993900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 354294, while the sum is 51.

The square root of 2199993900 is about 46904.0925719707. The cubic root of 2199993900 is about 1300.5902447885.

The spelling of 2199993900 in words is "two billion, one hundred ninety-nine million, nine hundred ninety-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 157 195 260 300 314 325 390 471 628 650 780 785 942 975 1300 1570 1884 1950 2041 2355 3140 3593 3900 3925 4082 4710 6123 7186 7850 8164 9420 10205 10779 11775 12246 14372 15700 17965 20410 21558 23550 24492 30615 35930 40820 43116 46709 47100 51025 53895 61230 71860 89825 93418 102050 107790 122460 140127 153075 179650 186836 204100 215580 233545 269475 280254 306150 359300 467090 538950 560508 564101 612300 700635 934180 1077900 1128202 1167725 1401270 1692303 2256404 2335450 2802540 2820505 3384606 3503175 4670900 5641010 6769212 7006350 7333313 8461515 11282020 14012700 14102525 14666626 16923030 21999939 28205050 29333252 33846060 36666565 42307575 43999878 56410100 73333130 84615150 87999756 109999695 146666260 169230300 183332825 219999390 366665650 439998780 549998475 733331300 1099996950 2199993900