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162217228644 = 223219235332
BaseRepresentation
bin1001011100010011100…
…1100111100101100100
3120111201012100000220100
42113010321213211210
510124210102304034
6202304354104100
714501615456442
oct2270471474544
9514635300810
10162217228644
116288343a929
122753227b030
13123b2721133
147bcc197b92
15434645e099
hex25c4e67964

162217228644 has 81 divisors (see below), whose sum is σ = 432889035033. Its totient is φ = 51211993824.

The previous prime is 162217228567. The next prime is 162217228687. The reversal of 162217228644 is 446822712261.

The square root of 162217228644 is 402762.

It is a perfect power (a square), and thus also a powerful number.

162217228644 is a `hidden beast` number, since 1 + 622 + 17 + 2 + 2 + 8 + 6 + 4 + 4 = 666.

162217228644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 132663492900 + 29553735744 = 364230^2 + 171912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 162217228644.

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 26 ways as a sum of consecutive naturals, for example, 45913102 + ... + 45916634.

Almost surely, 2162217228644 is an apocalyptic number.

162217228644 is the 402762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162217228644

162217228644 is an abundant number, since it is smaller than the sum of its proper divisors (270671806389).

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

162217228644 is an equidigital number, since it uses as much as digits as its factorization.

162217228644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114 (or 3557 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 162217228644 in words is "one hundred sixty-two billion, two hundred seventeen million, two hundred twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 3533 4332 6498 7066 10599 12996 14132 21198 31797 42396 63594 67127 127188 134254 201381 268508 402762 604143 805524 1208286 1275413 2416572 2550826 3826239 5101652 7652478 11478717 12482089 15304956 22957434 24964178 37446267 45914868 49928356 74892534 112338801 149785068 224677602 237159691 449355204 474319382 711479073 948638764 1422958146 2134437219 2845916292 4268874438 4506034129 8537748876 9012068258 13518102387 18024136516 27036204774 40554307161 54072409548 81108614322 162217228644