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3220144002 = 2325310332771
BaseRepresentation
bin1011111111101111…
…0111111110000010
322022102021021010200
42333323313332002
523043324102002
61251310510030
7142540525635
oct27773677602
98272237120
103220144002
111402761939
1275a505316
133c41a266a
1422794dc1c
1513ca7bb1c
hexbfef7f82

3220144002 has 48 divisors (see below), whose sum is σ = 7177854528. Its totient is φ = 1042872480.

The previous prime is 3220144001. The next prime is 3220144033. The reversal of 3220144002 is 2004410223.

3220144002 is a `hidden beast` number, since 3 + 220 + 1 + 440 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3220144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81877 + ... + 114647.

It is an arithmetic number, because the mean of its divisors is an integer number (149538636).

Almost surely, 23220144002 is an apocalyptic number.

3220144002 is an abundant number, since it is smaller than the sum of its proper divisors (3957710526).

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

3220144002 is a wasteful number, since it uses less digits than its factorization.

3220144002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32935 (or 32932 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3220144002 is about 56746.3126731597. The cubic root of 3220144002 is about 1476.6982644757.

Adding to 3220144002 its reverse (2004410223), we get a palindrome (5224554225).

The spelling of 3220144002 in words is "three billion, two hundred twenty million, one hundred forty-four thousand, two".

Divisors: 1 2 3 6 9 18 53 103 106 159 206 309 318 477 618 927 954 1854 5459 10918 16377 32754 32771 49131 65542 98262 98313 196626 294939 589878 1736863 3375413 3473726 5210589 6750826 10126239 10421178 15631767 20252478 30378717 31263534 60757434 178896889 357793778 536690667 1073381334 1610072001 3220144002