Search a number
-
+
2194519219760 = 245723732333999
BaseRepresentation
bin11111111011110011100…
…010011101111000110000
321202210102211002001101202
4133323303202131320300
5241423333410013020
64400052002550332
7314356142406650
oct37736342357060
97683384061352
102194519219760
1177676598573a
122b53900683a8
1312bc3323baca
1478302abc360
153c1401cbe75
hex1fef389de30

2194519219760 has 160 divisors (see below), whose sum is σ = 6168033792000. Its totient is φ = 709834143744.

The previous prime is 2194519219751. The next prime is 2194519219769. The reversal of 2194519219760 is 679129154912.

It is an interprime number because it is at equal distance from previous prime (2194519219751) and next prime (2194519219769).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 2194519219696 and 2194519219705.

It is not an unprimeable number, because it can be changed into a prime (2194519219769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226760 + ... + 2107239.

It is an arithmetic number, because the mean of its divisors is an integer number (38550211200).

Almost surely, 22194519219760 is an apocalyptic number.

2194519219760 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 2194519219760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084016896000).

2194519219760 is an abundant number, since it is smaller than the sum of its proper divisors (3973514572240).

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

2194519219760 is a wasteful number, since it uses less digits than its factorization.

2194519219760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334115 (or 2334109 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 56.

The spelling of 2194519219760 in words is "two trillion, one hundred ninety-four billion, five hundred nineteen million, two hundred nineteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 73 80 92 112 115 140 146 161 184 230 280 292 322 365 368 460 511 560 584 644 730 805 920 1022 1168 1288 1460 1610 1679 1840 2044 2555 2576 2920 3220 3358 4088 5110 5840 6440 6716 8176 8395 10220 11753 12880 13432 16790 20440 23506 26864 33580 40880 47012 58765 67160 94024 117530 134320 188048 235060 470120 940240 2333999 4667998 9335996 11669995 16337993 18671992 23339990 32675986 37343984 46679980 53681977 65351972 81689965 93359960 107363954 130703944 163379930 170381927 186719920 214727908 261407888 268409885 326759860 340763854 375773839 429455816 536819770 653519720 681527708 751547678 851909635 858911632 1073639540 1192673489 1307039440 1363055416 1503095356 1703819270 1878869195 2147279080 2385346978 2726110832 3006190712 3407638540 3757738390 3918784321 4294558160 4770693956 5963367445 6012381424 6815277080 7515476780 7837568642 9541387912 11926734890 13630554160 15030953560 15675137284 19082775824 19593921605 23853469780 27431490247 30061907120 31350274568 39187843210 47706939560 54862980494 62700549136 78375686420 95413879120 109725960988 137157451235 156751372840 219451921976 274314902470 313502745680 438903843952 548629804940 1097259609880 2194519219760