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1822122 = 23341823
BaseRepresentation
bin110111100110110101010
310102120111000
412330312222
5431301442
6103015430
721326211
oct6746652
93376430
101822122
111034a95
1273a576
134ba4a3
14356078
1525ed4c
hex1bcdaa

1822122 has 32 divisors (see below), whose sum is σ = 4152960. Its totient is φ = 591840.

The previous prime is 1822109. The next prime is 1822123. The reversal of 1822122 is 2212281.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1822095 and 1822104.

It is not an unprimeable number, because it can be changed into a prime (1822123) 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 15 ways as a sum of consecutive naturals, for example, 1803 + ... + 2625.

It is an arithmetic number, because the mean of its divisors is an integer number (129780).

21822122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1822122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076480).

1822122 is an abundant number, since it is smaller than the sum of its proper divisors (2330838).

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

1822122 is a wasteful number, since it uses less digits than its factorization.

1822122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

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

The square root of 1822122 is about 1349.8599927400. The cubic root of 1822122 is about 122.1403473081.

It can be divided in two parts, 182 and 2122, that added together give a square (2304 = 482).

The spelling of 1822122 in words is "one million, eight hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 823 1107 1646 2214 2469 4938 7407 14814 22221 33743 44442 67486 101229 202458 303687 607374 911061 1822122