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164225633 = 111310710733
BaseRepresentation
bin10011100100111…
…10001001100001
3102110000112012212
421302132021201
5314020210013
624143531505
74032615635
oct1162361141
9373015185
10164225633
1184779170
1246bb9b95
132803cc40
1417b4cdc5
15e63e6a8
hex9c9e261

164225633 has 16 divisors (see below), whose sum is σ = 194757696. Its totient is φ = 136511040.

The previous prime is 164225617. The next prime is 164225639. The reversal of 164225633 is 336522461.

It is a cyclic number.

It is not a de Polignac number, because 164225633 - 24 = 164225617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164225633.

It is not an unprimeable number, because it can be changed into a prime (164225639) 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, 9935 + ... + 20667.

It is an arithmetic number, because the mean of its divisors is an integer number (12172356).

Almost surely, 2164225633 is an apocalyptic number.

164225633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164225633 is a deficient number, since it is larger than the sum of its proper divisors (30532063).

164225633 is a wasteful number, since it uses less digits than its factorization.

164225633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864.

The product of its digits is 25920, while the sum is 32.

The square root of 164225633 is about 12815.0549355046. The cubic root of 164225633 is about 547.6212784994.

The spelling of 164225633 in words is "one hundred sixty-four million, two hundred twenty-five thousand, six hundred thirty-three".

Divisors: 1 11 13 107 143 1177 1391 10733 15301 118063 139529 1148431 1534819 12632741 14929603 164225633