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2144436 = 22373521
BaseRepresentation
bin1000001011100010110100
311000221121120
420023202310
51022110221
6113543540
724141000
oct10134264
94027546
102144436
111235168
12874bb0
135a10c8
143db700
152c55c6
hex20b8b4

2144436 has 48 divisors (see below), whose sum is σ = 5846400. Its totient is φ = 611520.

The previous prime is 2144419. The next prime is 2144437. The reversal of 2144436 is 6344412.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 221 + 1 + 43 + 43 + 44 + 35 + 66 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3856 + ... + 4376.

It is an arithmetic number, because the mean of its divisors is an integer number (121800).

22144436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923200).

2144436 is an abundant number, since it is smaller than the sum of its proper divisors (3701964).

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

2144436 is a wasteful number, since it uses less digits than its factorization.

2144436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2144436 is about 1464.3892925039. The cubic root of 2144436 is about 128.9548547032.

Subtracting from 2144436 its sum of digits (24), we obtain a palindrome (2144412).

Adding to 2144436 its reverse (6344412), we get a palindrome (8488848).

It can be divided in two parts, 21 and 44436, that multiplied together give a square (933156 = 9662).

The spelling of 2144436 in words is "two million, one hundred forty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 521 588 686 1029 1042 1372 1563 2058 2084 3126 3647 4116 6252 7294 10941 14588 21882 25529 43764 51058 76587 102116 153174 178703 306348 357406 536109 714812 1072218 2144436