Search a number
-
+
2177214 = 2313103271
BaseRepresentation
bin1000010011100010111110
311002121120120
420103202332
51024132324
6114355410
724335364
oct10234276
94077516
102177214
111257856
1288bb66
135b2cc0
14409634
152d0179
hex2138be

2177214 has 32 divisors (see below), whose sum is σ = 4752384. Its totient is φ = 660960.

The previous prime is 2177167. The next prime is 2177237. The reversal of 2177214 is 4127712.

2177214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (784) is a multiple of the sum of its prime divisors (392).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7899 + ... + 8169.

It is an arithmetic number, because the mean of its divisors is an integer number (148512).

22177214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2177214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376192).

2177214 is an abundant number, since it is smaller than the sum of its proper divisors (2575170).

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

2177214 is a wasteful number, since it uses less digits than its factorization.

2177214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its digits is 784, while the sum is 24.

The square root of 2177214 is about 1475.5385457520. The cubic root of 2177214 is about 129.6085661538.

The spelling of 2177214 in words is "two million, one hundred seventy-seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 103 206 271 309 542 618 813 1339 1626 2678 3523 4017 7046 8034 10569 21138 27913 55826 83739 167478 362869 725738 1088607 2177214