Search a number
-
+
2215674 = 2354797
BaseRepresentation
bin1000011100111011111010
311011120100000
420130323322
51031400144
6115253430
724555456
oct10347372
94146300
102215674
11128373a
128aa276
135c7666
14419666
152db769
hex21cefa

2215674 has 48 divisors (see below), whose sum is σ = 5136768. Its totient is φ = 715392.

The previous prime is 2215673. The next prime is 2215691. The reversal of 2215674 is 4765122.

It is a super-2 number, since 2×22156742 = 9818422548552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215673) 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 23 ways as a sum of consecutive naturals, for example, 22794 + ... + 22890.

It is an arithmetic number, because the mean of its divisors is an integer number (107016).

22215674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2215674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568384).

2215674 is an abundant number, since it is smaller than the sum of its proper divisors (2921094).

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

2215674 is an equidigital number, since it uses as much as digits as its factorization.

2215674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2215674 is about 1488.5140241194. The cubic root of 2215674 is about 130.3672848162.

The spelling of 2215674 in words is "two million, two hundred fifteen thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 97 141 162 194 243 282 291 423 486 582 846 873 1269 1746 2538 2619 3807 4559 5238 7614 7857 9118 11421 13677 15714 22842 23571 27354 41031 47142 82062 123093 246186 369279 738558 1107837 2215674