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2224404 = 2232721397
BaseRepresentation
bin1000011111000100010100
311012000022100
420133010110
51032140104
6115402100
724623100
oct10370424
94160270
102224404
11128a256
128b3330
135cb620
1441c900
152de139
hex21f114

2224404 has 108 divisors (see below), whose sum is σ = 7116564. Its totient is φ = 580608.

The previous prime is 2224379. The next prime is 2224429. The reversal of 2224404 is 4044222.

2224404 is a `hidden beast` number, since 222 + 440 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2224379) and next prime (2224429).

It can be written as a sum of positive squares in 2 ways, for example, as 636804 + 1587600 = 798^2 + 1260^2 .

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22884 + ... + 22980.

22224404 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 2224404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558282).

2224404 is an abundant number, since it is smaller than the sum of its proper divisors (4892160).

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

2224404 is a wasteful number, since it uses less digits than its factorization.

2224404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2224404 is about 1491.4435959834. The cubic root of 2224404 is about 130.5382809262.

Adding to 2224404 its reverse (4044222), we get a palindrome (6268626).

It can be divided in two parts, 2224 and 404, that added together give a triangular number (2628 = T72).

The spelling of 2224404 in words is "two million, two hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 97 98 117 126 147 156 182 194 196 234 252 273 291 294 364 388 441 468 546 582 588 637 679 819 873 882 1092 1164 1261 1274 1358 1638 1746 1764 1911 2037 2522 2548 2716 3276 3492 3783 3822 4074 4753 5044 5733 6111 7566 7644 8148 8827 9506 11349 11466 12222 14259 15132 17654 19012 22698 22932 24444 26481 28518 35308 42777 45396 52962 57036 61789 79443 85554 105924 123578 158886 171108 185367 247156 317772 370734 556101 741468 1112202 2224404