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164414216 = 2382724851
BaseRepresentation
bin10011100110011…
…00001100001000
3102110101002220102
421303030030020
5314042223331
624151544532
74034332511
oct1163141410
9373332812
10164414216
118489791a
124708b148
13280a7a25
1417b9ba08
15e67a4cb
hex9ccc308

164414216 has 16 divisors (see below), whose sum is σ = 308661840. Its totient is φ = 82104400.

The previous prime is 164414213. The next prime is 164414219. The reversal of 164414216 is 612414461.

It is an interprime number because it is at equal distance from previous prime (164414213) and next prime (164414219).

It is a super-3 number, since 3×1644142163 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164414213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5810 + ... + 19041.

It is an arithmetic number, because the mean of its divisors is an integer number (19291365).

Almost surely, 2164414216 is an apocalyptic number.

It is an amenable number.

164414216 is a deficient number, since it is larger than the sum of its proper divisors (144247624).

164414216 is a wasteful number, since it uses less digits than its factorization.

164414216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25684 (or 25680 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 164414216 is about 12822.4106937814. The cubic root of 164414216 is about 547.8308124948.

Adding to 164414216 its reverse (612414461), we get a palindrome (776828677).

The spelling of 164414216 in words is "one hundred sixty-four million, four hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 827 1654 3308 6616 24851 49702 99404 198808 20551777 41103554 82207108 164414216