Search a number
-
+
2193444 = 22321129191
BaseRepresentation
bin1000010111100000100100
311010102211200
420113200210
51030142234
6115002500
724433611
oct10274044
94112750
102193444
111268a70
12899430
135ba4c6
14411508
152d4d99
hex217824

2193444 has 72 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 638400.

The previous prime is 2193439. The next prime is 2193449. The reversal of 2193444 is 4443912.

2193444 is a `hidden beast` number, since 219 + 3 + 444 = 666.

2193444 is digitally balanced in base 5, 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 (2193439) and next prime (2193449).

It is a super-2 number, since 2×21934442 = 9622393162272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2193449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11389 + ... + 11579.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

22193444 is an apocalyptic number.

2193444 is the 792-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2193444 is an abundant number, since it is smaller than the sum of its proper divisors (4096476).

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

2193444 is a wasteful number, since it uses less digits than its factorization.

2193444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 236 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2193444 is about 1481.0280213419. The cubic root of 2193444 is about 129.9298240577.

It can be divided in two parts, 219 and 3444, that added together give a palindrome (3663).

The spelling of 2193444 in words is "two million, one hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 191 198 261 319 348 382 396 522 573 638 764 957 1044 1146 1276 1719 1914 2101 2292 2871 3438 3828 4202 5539 5742 6303 6876 8404 11078 11484 12606 16617 18909 22156 25212 33234 37818 49851 60929 66468 75636 99702 121858 182787 199404 243716 365574 548361 731148 1096722 2193444