Search a number
-
+
10222164 = 2232283949
BaseRepresentation
bin100110111111…
…101001010100
3201020100011200
4212333221110
510104102124
61003032500
7152613141
oct46775124
921210150
1010222164
115852077
12350b730
13216ba24
1415013c8
15d6dbc9
hex9bfa54

10222164 has 18 divisors (see below), whose sum is σ = 25839450. Its totient is φ = 3407376.

The previous prime is 10222159. The next prime is 10222169. The reversal of 10222164 is 46122201.

It is an interprime number because it is at equal distance from previous prime (10222159) and next prime (10222169).

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 562500 = 3108^2 + 750^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141939 + ... + 142010.

It is an arithmetic number, because the mean of its divisors is an integer number (1435525).

Almost surely, 210222164 is an apocalyptic number.

It is an amenable number.

10222164 is an abundant number, since it is smaller than the sum of its proper divisors (15617286).

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

10222164 is a wasteful number, since it uses less digits than its factorization.

10222164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283959 (or 283954 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10222164 is about 3197.2119103994. The cubic root of 10222164 is about 217.0272570121.

Adding to 10222164 its reverse (46122201), we get a palindrome (56344365).

The spelling of 10222164 in words is "ten million, two hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 283949 567898 851847 1135796 1703694 2555541 3407388 5111082 10222164