Search a number
-
+
2679222 = 237213701
BaseRepresentation
bin1010001110000110110110
312001010012110
422032012312
51141213342
6133231450
731526100
oct12160666
95033173
102679222
11156aa37
12a92586
1372a650
144da570
1537dc9c
hex28e1b6

2679222 has 48 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 705600.

The previous prime is 2679211. The next prime is 2679233. The reversal of 2679222 is 2229762.

2679222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2679211) and next prime (2679233).

It is a d-powerful number, because it can be written as 213 + 6 + 75 + 9 + 215 + 219 + 221 .

It is a self number, because there is not a number n which added to its sum of digits gives 2679222.

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 23 ways as a sum of consecutive naturals, for example, 3472 + ... + 4172.

It is an arithmetic number, because the mean of its divisors is an integer number (140049).

22679222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361176).

2679222 is an abundant number, since it is smaller than the sum of its proper divisors (4043130).

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

2679222 is a wasteful number, since it uses less digits than its factorization.

2679222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2679222 is about 1636.8329175576. The cubic root of 2679222 is about 138.8895487495.

The spelling of 2679222 in words is "two million, six hundred seventy-nine thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 701 1274 1402 1911 2103 3822 4206 4907 9113 9814 14721 18226 27339 29442 34349 54678 63791 68698 103047 127582 191373 206094 382746 446537 893074 1339611 2679222