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22202003114340 = 22357422271251851
BaseRepresentation
bin1010000110001010011101…
…00000100100100101100100
32220121111020202210210102020
411003011032200210211210
510402224200244124330
6115115243122543140
74451020222456320
oct503051640444544
986544222723366
1022202003114340
11708a8a8a53515
1225a6a91b07ab0
13c50841b6201a
1456a822c58980
152877d20b3210
hex14314e824964

22202003114340 has 96 divisors (see below), whose sum is σ = 71048149208064. Its totient is φ = 5074619337600.

The previous prime is 22202003114293. The next prime is 22202003114351. The reversal of 22202003114340 is 4341130020222.

It is a happy number.

It is a super-3 number, since 3×222020031143403 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22202003114340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17109415 + ... + 18361265.

It is an arithmetic number, because the mean of its divisors is an integer number (740084887584).

Almost surely, 222202003114340 is an apocalyptic number.

22202003114340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202003114340 is an abundant number, since it is smaller than the sum of its proper divisors (48846146093724).

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

22202003114340 is a wasteful number, since it uses less digits than its factorization.

22202003114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294097 (or 1294095 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22202003114340 its reverse (4341130020222), we get a palindrome (26543133134562).

The spelling of 22202003114340 in words is "twenty-two trillion, two hundred two billion, three million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 42227 84454 126681 168908 211135 253362 295589 422270 506724 591178 633405 844540 886767 1182356 1251851 1266810 1477945 1773534 2503702 2533620 2955890 3547068 3755553 4433835 5007404 5911780 6259255 7511106 8762957 8867670 12518510 15022212 17525914 17735340 18777765 25037020 26288871 35051828 37555530 43814785 52577742 75111060 87629570 105155484 131444355 175259140 262888710 525777420 52861912177 105723824354 158585736531 211447648708 264309560885 317171473062 370033385239 528619121770 634342946124 740066770478 792928682655 1057238243540 1110100155717 1480133540956 1585857365310 1850166926195 2220200311434 3171714730620 3700333852390 4440400622868 5550500778585 7400667704780 11101001557170 22202003114340