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164464188 = 223721716453
BaseRepresentation
bin10011100110110…
…00011000111100
3102110110122110020
421303120120330
5314100323223
624153012140
74034631300
oct1163303074
9373418406
10164464188
1184921419
12470b4050
13280c46b5
1417bb1d00
15e68a1e3
hex9cd863c

164464188 has 72 divisors (see below), whose sum is σ = 472690512. Its totient is φ = 44222976.

The previous prime is 164464169. The next prime is 164464189. The reversal of 164464188 is 881464461.

164464188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164464189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1770 + ... + 18222.

It is an arithmetic number, because the mean of its divisors is an integer number (6565146).

Almost surely, 2164464188 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 164464188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236345256).

164464188 is an abundant number, since it is smaller than the sum of its proper divisors (308226324).

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

164464188 is a wasteful number, since it uses less digits than its factorization.

164464188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16491 (or 16482 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 164464188 is about 12824.3591652761. The cubic root of 164464188 is about 547.8863093752.

The spelling of 164464188 in words is "one hundred sixty-four million, four hundred sixty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 9996 16453 32906 49359 65812 98718 115171 197436 230342 279701 345513 460684 559402 691026 806197 839103 1118804 1382052 1612394 1678206 1957907 2418591 3224788 3356412 3915814 4837182 5873721 7831628 9674364 11747442 13705349 23494884 27410698 41116047 54821396 82232094 164464188