Search a number
-
+
2168664 = 233109829
BaseRepresentation
bin1000010001011101011000
311002011211220
420101131120
51023344124
6114252040
724301431
oct10213530
94064756
102168664
111251393
12887020
135ac144
14406488
152cc879
hex211758

2168664 has 32 divisors (see below), whose sum is σ = 5478000. Its totient is φ = 715392.

The previous prime is 2168659. The next prime is 2168669. The reversal of 2168664 is 4668612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2168659) and next prime (2168669).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2202 + ... + 3030.

22168664 is an apocalyptic number.

2168664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2168664 is an abundant number, since it is smaller than the sum of its proper divisors (3309336).

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

2168664 is a wasteful number, since it uses less digits than its factorization.

2168664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 943 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2168664 is about 1472.6384484998. The cubic root of 2168664 is about 129.4386843691.

It can be divided in two parts, 216 and 8664, that multiplied together give a square (1871424 = 13682).

The spelling of 2168664 in words is "two million, one hundred sixty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 109 218 327 436 654 829 872 1308 1658 2487 2616 3316 4974 6632 9948 19896 90361 180722 271083 361444 542166 722888 1084332 2168664