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164370228 = 2231110112329
BaseRepresentation
bin10011100110000…
…01011100110100
3102110021212120020
421303001130310
5314034321403
624151005140
74034060331
oct1163013464
9373255506
10164370228
1184867870
12470697b0
13280909b9
1417b89988
15e66c453
hex9cc1734

164370228 has 48 divisors (see below), whose sum is σ = 422573760. Its totient is φ = 49312000.

The previous prime is 164370223. The next prime is 164370253. The reversal of 164370228 is 822073461.

164370228 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1643702283 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164370223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7168 + ... + 19496.

It is an arithmetic number, because the mean of its divisors is an integer number (8803620).

Almost surely, 2164370228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164370228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211286880).

164370228 is an abundant number, since it is smaller than the sum of its proper divisors (258203532).

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

164370228 is a wasteful number, since it uses less digits than its factorization.

164370228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12448 (or 12446 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 164370228 is about 12820.6953009577. The cubic root of 164370228 is about 547.7819518959.

The spelling of 164370228 in words is "one hundred sixty-four million, three hundred seventy thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 12329 13332 24658 36987 49316 73974 135619 147948 271238 406857 542476 813714 1245229 1627428 2490458 3735687 4980916 7471374 13697519 14942748 27395038 41092557 54790076 82185114 164370228