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164923213 = 71321091279
BaseRepresentation
bin10011101010010…
…00011101001101
3102111022222010011
421311020131031
5314210020323
624210513221
74041552460
oct1165103515
9374288104
10164923213
1185105284
1247295811
1328225600
1417c912d7
15e72b20d
hex9d4874d

164923213 has 24 divisors (see below), whose sum is σ = 206131200. Its totient is φ = 129190464.

The previous prime is 164923169. The next prime is 164923217. The reversal of 164923213 is 312329461.

164923213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164923213 - 29 = 164922701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164923217) 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, 128308 + ... + 129586.

It is an arithmetic number, because the mean of its divisors is an integer number (8588800).

Almost surely, 2164923213 is an apocalyptic number.

164923213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164923213 is a deficient number, since it is larger than the sum of its proper divisors (41207987).

164923213 is a wasteful number, since it uses less digits than its factorization.

164923213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1408 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 164923213 is about 12842.2433009190. The cubic root of 164923213 is about 548.3955588411.

The spelling of 164923213 in words is "one hundred sixty-four million, nine hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 7 13 91 109 169 763 1183 1279 1417 8953 9919 16627 18421 116389 128947 139411 216151 975877 1513057 1812343 12686401 23560459 164923213