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164722212 = 223213013517
BaseRepresentation
bin10011101000101…
…11011000100100
3102110221202101200
421310113120210
5314132102322
624202322500
74040054454
oct1164273044
9373852350
10164722212
1184a88266
12471b9430
1328184c85
1417c3bd64
15e6db8ac
hex9d17624

164722212 has 36 divisors (see below), whose sum is σ = 416819676. Its totient is φ = 54849600.

The previous prime is 164722193. The next prime is 164722223. The reversal of 164722212 is 212227461.

164722212 is a `hidden beast` number, since 1 + 647 + 2 + 2 + 2 + 12 = 666.

164722212 is digitally balanced in base 3, 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 2 ways, for example, as 68956416 + 95765796 = 8304^2 + 9786^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45078 + ... + 48594.

Almost surely, 2164722212 is an apocalyptic number.

164722212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164722212 is an abundant number, since it is smaller than the sum of its proper divisors (252097464).

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

164722212 is a wasteful number, since it uses less digits than its factorization.

164722212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4823 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 164722212 is about 12834.4151405508. The cubic root of 164722212 is about 548.1726816520.

Adding to 164722212 its reverse (212227461), we get a palindrome (376949673).

The spelling of 164722212 in words is "one hundred sixty-four million, seven hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1301 2602 3517 3903 5204 7034 7806 10551 11709 14068 15612 21102 23418 31653 42204 46836 63306 126612 4575617 9151234 13726851 18302468 27453702 41180553 54907404 82361106 164722212