Search a number
-
+
22202202210120 = 2333521139729103
BaseRepresentation
bin1010000110001010110100…
…11000000011111101001000
32220121111202122102220111000
411003011122120003331020
510402230102231210440
6115115314554135000
74451025160656432
oct503053230037510
986544678386430
1022202202210120
11708a9a0379089
1225a6b28721460
13c5087419088a
1456a841483652
152877e47de730
hex14315a603f48

22202202210120 has 128 divisors (see below), whose sum is σ = 74042373081600. Its totient is φ = 5917784666112.

The previous prime is 22202202210107. The next prime is 22202202210137. The reversal of 22202202210120 is 2101220220222.

22202202210120 is a `hidden beast` number, since 2 + 220 + 220 + 2 + 210 + 12 + 0 = 666.

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 = 22202202210093 and 22202202210102.

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 31 ways as a sum of consecutive naturals, for example, 2582512 + ... + 7146591.

It is an arithmetic number, because the mean of its divisors is an integer number (578456039700).

Almost surely, 222202202210120 is an apocalyptic number.

22202202210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202202210120 is an abundant number, since it is smaller than the sum of its proper divisors (51840170871480).

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

22202202210120 is a wasteful number, since it uses less digits than its factorization.

22202202210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9731236 (or 9731226 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22202202210120 its reverse (2101220220222), we get a palindrome (24303422430342).

The spelling of 22202202210120 in words is "twenty-two trillion, two hundred two billion, two hundred two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2113 4226 6339 8452 10565 12678 16904 19017 21130 25356 31695 38034 42260 50712 57051 63390 76068 84520 95085 114102 126780 152136 190170 228204 253560 285255 380340 456408 570510 760680 1141020 2282040 9729103 19458206 29187309 38916412 48645515 58374618 77832824 87561927 97291030 116749236 145936545 175123854 194582060 233498472 262685781 291873090 350247708 389164120 437809635 525371562 583746180 700495416 875619270 1050743124 1167492360 1313428905 1751238540 2101486248 2626857810 3502477080 5253715620 10507431240 20557594639 41115189278 61672783917 82230378556 102787973195 123345567834 164460757112 185018351751 205575946390 246691135668 308363919585 370036703502 411151892780 493382271336 555055055253 616727839170 740073407004 822303785560 925091758755 1110110110506 1233455678340 1480146814008 1850183517510 2220220221012 2466911356680 2775275276265 3700367035020 4440440442024 5550550552530 7400734070040 11101101105060 22202202210120