Search a number
-
+
1822212 = 2232721033
BaseRepresentation
bin110111100111000000100
310102120121100
412330320010
5431302322
6103020100
721326400
oct6747004
93376540
101822212
111035067
1273a630
134ba542
14356100
1525edac
hex1bce04

1822212 has 54 divisors (see below), whose sum is σ = 5363358. Its totient is φ = 520128.

The previous prime is 1822207. The next prime is 1822217. The reversal of 1822212 is 2122281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1822207) and next prime (1822217).

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 15876 = 1344^2 + 126^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1822217) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1248 + ... + 2280.

21822212 is an apocalyptic number.

1822212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1822212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681679).

1822212 is an abundant number, since it is smaller than the sum of its proper divisors (3541146).

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

1822212 is a wasteful number, since it uses less digits than its factorization.

1822212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1045 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 1822212 is about 1349.8933291190. The cubic root of 1822212 is about 122.1423582327.

Adding to 1822212 its reverse (2122281), we get a palindrome (3944493).

The spelling of 1822212 in words is "one million, eight hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1033 1764 2066 3099 4132 6198 7231 9297 12396 14462 18594 21693 28924 37188 43386 50617 65079 86772 101234 130158 151851 202468 260316 303702 455553 607404 911106 1822212