Search a number
-
+
2212200 = 2332521229
BaseRepresentation
bin1000011100000101101000
311011101120100
420130011220
51031242300
6115225400
724542364
oct10340550
94141510
102212200
111281071
128a8260
135c5bc3
144182a4
152da700
hex21c168

2212200 has 72 divisors (see below), whose sum is σ = 7435350. Its totient is φ = 589440.

The previous prime is 2212187. The next prime is 2212219. The reversal of 2212200 is 22122.

It can be written as a sum of positive squares in 3 ways, for example, as 2125764 + 86436 = 1458^2 + 294^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1186 + ... + 2414.

22212200 is an apocalyptic number.

2212200 is a gapful number since it is divisible by the number (20) 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 2212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717675).

2212200 is an abundant number, since it is smaller than the sum of its proper divisors (5223150).

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

2212200 is a wasteful number, since it uses less digits than its factorization.

2212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2212200 is about 1487.3466307489. The cubic root of 2212200 is about 130.2991140090.

Adding to 2212200 its reverse (22122), we get a palindrome (2234322).

Multiplying 2212200 by its reverse (22122), we get a square (48938288400 = 2212202).

2212200 divided by its reverse (22122) gives a square (100 = 102).

The spelling of 2212200 in words is "two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1229 1800 2458 3687 4916 6145 7374 9832 11061 12290 14748 18435 22122 24580 29496 30725 36870 44244 49160 55305 61450 73740 88488 92175 110610 122900 147480 184350 221220 245800 276525 368700 442440 553050 737400 1106100 2212200