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2224332 = 22321141137
BaseRepresentation
bin1000011111000011001100
311012000012200
420133003030
51032134312
6115401500
724622635
oct10370314
94160180
102224332
11128a1a0
128b3290
135cb596
1441c88c
152de0dc
hex21f0cc

2224332 has 72 divisors (see below), whose sum is σ = 6329232. Its totient is φ = 652800.

The previous prime is 2224289. The next prime is 2224337. The reversal of 2224332 is 2334222.

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

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 22 + 28 + 215 + 4 + 312 + 313 + 216 .

It is not an unprimeable number, because it can be changed into a prime (2224337) 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, 16168 + ... + 16304.

It is an arithmetic number, because the mean of its divisors is an integer number (87906).

22224332 is an apocalyptic number.

2224332 is a gapful number since it is divisible by the number (22) 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 2224332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164616).

2224332 is an abundant number, since it is smaller than the sum of its proper divisors (4104900).

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

2224332 is a wasteful number, since it uses less digits than its factorization.

2224332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 194 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 2224332 is about 1491.4194581002. The cubic root of 2224332 is about 130.5368724803.

Adding to 2224332 its reverse (2334222), we get a palindrome (4558554).

It can be divided in two parts, 2224 and 332, that added together give a triangular number (2556 = T71).

The spelling of 2224332 in words is "two million, two hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 137 164 198 246 274 369 396 411 451 492 548 738 822 902 1233 1353 1476 1507 1644 1804 2466 2706 3014 4059 4521 4932 5412 5617 6028 8118 9042 11234 13563 16236 16851 18084 22468 27126 33702 50553 54252 61787 67404 101106 123574 185361 202212 247148 370722 556083 741444 1112166 2224332