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2216556342 = 2327111329463
BaseRepresentation
bin1000010000011101…
…1111011100110110
312201110211201200100
42010013133130312
514014414300332
61003540254530
7105633263250
oct20407373466
95643751610
102216556342
11a38208650
1251a3a1446
132942aa500
1417054acd0
15ce8dc67c
hex841df736

2216556342 has 144 divisors (see below), whose sum is σ = 6484278528. Its totient is φ = 531385920.

The previous prime is 2216556341. The next prime is 2216556343. The reversal of 2216556342 is 2436556122.

2216556342 is a `hidden beast` number, since 2 + 2 + 16 + 5 + 5 + 634 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2216556341) and next prime (2216556343).

It is a junction number, because it is equal to n+sod(n) for n = 2216556297 and 2216556306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216556341) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 229503 + ... + 238965.

It is an arithmetic number, because the mean of its divisors is an integer number (45029712).

Almost surely, 22216556342 is an apocalyptic number.

2216556342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216556342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242139264).

2216556342 is an abundant number, since it is smaller than the sum of its proper divisors (4267722186).

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

2216556342 is a wasteful number, since it uses less digits than its factorization.

2216556342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515 (or 9499 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2216556342 is about 47080.3179895803. The cubic root of 2216556342 is about 1303.8458779262.

The spelling of 2216556342 in words is "two billion, two hundred sixteen million, five hundred fifty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 169 182 198 231 234 273 286 338 429 462 507 546 693 819 858 1001 1014 1183 1287 1386 1521 1638 1859 2002 2366 2574 3003 3042 3549 3718 5577 6006 7098 9009 9463 10647 11154 13013 16731 18018 18926 21294 26026 28389 33462 39039 56778 66241 78078 85167 104093 117117 123019 132482 170334 198723 208186 234234 246038 312279 369057 397446 596169 624558 728651 738114 861133 936837 1107171 1192338 1353209 1457302 1599247 1722266 1873674 2185953 2214342 2583399 2706418 3198494 4059627 4371906 4797741 5166798 6557859 7750197 8119254 9472463 9595482 11194729 12178881 13115718 14393223 15500394 17591717 18944926 22389458 24357762 28417389 28786446 33584187 35183434 52775151 56834778 67168374 85252167 100752561 105550302 123142019 158325453 170504334 201505122 246284038 316650906 369426057 738852114 1108278171 2216556342