Search a number
-
+
22145828563320 = 23357112396734693
BaseRepresentation
bin1010000100100001110100…
…01111101010100101111000
32220102010020212110221010120
411002100322033222211320
510400314124103011240
6115033353031213240
74443661163613150
oct502207217524570
986363225427116
1022145828563320
117068aa1979940
122598015217220
13c4845bb0c917
14567c1447d760
152860e5606ad0
hex14243a3ea978

22145828563320 has 128 divisors (see below), whose sum is σ = 82831151024640. Its totient is φ = 4601730608640.

The previous prime is 22145828563319. The next prime is 22145828563333. The reversal of 22145828563320 is 2336582854122.

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, 1198358107 + ... + 1198376586.

It is an arithmetic number, because the mean of its divisors is an integer number (647118367380).

Almost surely, 222145828563320 is an apocalyptic number.

22145828563320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22145828563320 is an abundant number, since it is smaller than the sum of its proper divisors (60685322461320).

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

22145828563320 is a wasteful number, since it uses less digits than its factorization.

22145828563320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396734725 (or 2396734721 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 22145828563320 in words is "twenty-two trillion, one hundred forty-five billion, eight hundred twenty-eight million, five hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 2396734693 4793469386 7190204079 9586938772 11983673465 14380408158 16777142851 19173877544 23967346930 26364081623 28760816316 33554285702 35951020395 47934693860 50331428553 52728163246 57521632632 67108571404 71902040790 79092244869 83885714255 95869387720 100662857106 105456326492 131820408115 134217142808 143804081580 158184489738 167771428510 184548571361 201325714212 210912652984 251657142765 263640816230 287608163160 316368979476 335542857020 369097142722 395461224345 402651428424 503314285530 527281632460 553645714083 632737958952 671085714040 738194285444 790922448690 922742856805 1006628571060 1054563264920 1107291428166 1476388570888 1581844897380 1845485713610 2013257142120 2214582856332 2768228570415 3163689794760 3690971427220 4429165712664 5536457140830 7381942854440 11072914281660 22145828563320