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2146122 = 233113613
BaseRepresentation
bin1000001011111101001010
311001000221000
420023331022
51022133442
6113555430
724145626
oct10137512
94030830
102146122
111236460
12875b76
135a1ac4
143dc186
152c5d4c
hex20bf4a

2146122 has 32 divisors (see below), whose sum is σ = 5204160. Its totient is φ = 650160.

The previous prime is 2146103. The next prime is 2146139. The reversal of 2146122 is 2216412.

2146122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 23 + 1 + 44 + 66 + 1 + 211 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 2146095 and 2146104.

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, 1213 + ... + 2400.

It is an arithmetic number, because the mean of its divisors is an integer number (162630).

22146122 is an apocalyptic number.

2146122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2146122 is an abundant number, since it is smaller than the sum of its proper divisors (3058038).

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

2146122 is a wasteful number, since it uses less digits than its factorization.

2146122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3629 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2146122 is about 1464.9648459946. The cubic root of 2146122 is about 128.9886415094.

It can be divided in two parts, 214 and 6122, that added together give a palindrome (6336).

The spelling of 2146122 in words is "two million, one hundred forty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 3613 7226 10839 21678 32517 39743 65034 79486 97551 119229 195102 238458 357687 715374 1073061 2146122