Search a number
-
+
2204412 = 2237223163
BaseRepresentation
bin1000011010001011111100
311010222212220
420122023330
51031020122
6115125340
724510600
oct10321374
94128786
102204412
111276231
128a3850
135c24b2
14415500
152d825c
hex21a2fc

2204412 has 72 divisors (see below), whose sum is σ = 6281856. Its totient is φ = 598752.

The previous prime is 2204393. The next prime is 2204431. The reversal of 2204412 is 2144022.

2204412 is digitally balanced in base 2, 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 (2204393) and next prime (2204431).

It is a junction number, because it is equal to n+sod(n) for n = 2204391 and 2204400.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13443 + ... + 13605.

It is an arithmetic number, because the mean of its divisors is an integer number (87248).

22204412 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 2204412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140928).

2204412 is an abundant number, since it is smaller than the sum of its proper divisors (4077444).

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

2204412 is a wasteful number, since it uses less digits than its factorization.

2204412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2204412 is about 1484.7262373919. The cubic root of 2204412 is about 130.1460291976.

Adding to 2204412 its reverse (2144022), we get a palindrome (4348434).

The spelling of 2204412 in words is "two million, two hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 163 196 276 294 322 326 483 489 588 644 652 966 978 1127 1141 1932 1956 2254 2282 3381 3423 3749 4508 4564 6762 6846 7498 7987 11247 13524 13692 14996 15974 22494 23961 26243 31948 44988 47922 52486 78729 95844 104972 157458 183701 314916 367402 551103 734804 1102206 2204412