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2230000233120 = 2532511140782843
BaseRepresentation
bin100000011100110110010…
…111110010101010100000
321220012000112212021121200
4200130312113302222200
5243014020024424440
64424240432121200
7320053325141412
oct40346627625240
97805015767550
102230000233120
1178a812aa5180
12300232696200
13132398cca77a
1479d0b03a9b2
153d01a0c4c30
hex207365f2aa0

2230000233120 has 144 divisors (see below), whose sum is σ = 8301682744992. Its totient is φ = 540606113280.

The previous prime is 2230000233113. The next prime is 2230000233143. The reversal of 2230000233120 is 213320000322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2230000233093 and 2230000233102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70375582 + ... + 70407261.

It is an arithmetic number, because the mean of its divisors is an integer number (57650574618).

Almost surely, 22230000233120 is an apocalyptic number.

2230000233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230000233120 is an abundant number, since it is smaller than the sum of its proper divisors (6071682511872).

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

2230000233120 is a wasteful number, since it uses less digits than its factorization.

2230000233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140782875 (or 140782864 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2230000233120 its reverse (213320000322), we get a palindrome (2443320233442).

The spelling of 2230000233120 in words is "two trillion, two hundred thirty billion, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 140782843 281565686 422348529 563131372 703914215 844697058 1126262744 1267045587 1407828430 1548611273 1689394116 2111742645 2252525488 2534091174 2815656860 3097222546 3378788232 4223485290 4505050976 4645833819 5068182348 5631313720 6194445092 6335227935 6757576464 7743056365 8446970580 9291667638 10136364696 11262627440 12388890184 12670455870 13515152928 13937501457 15486112730 16893941160 18583335276 20272729392 22525254880 23229169095 24777780368 25340911740 27875002914 30972225460 33787882320 37166670552 40545458784 46458338190 49555560736 50681823480 55750005828 61944450920 67575764640 69687507285 74333341104 92916676380 101363646960 111500011656 123888901840 139375014570 148666682208 185833352760 202727293920 223000023312 247777803680 278750029140 371666705520 446000046624 557500058280 743333411040 1115000116560 2230000233120