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2220200 = 235217653
BaseRepresentation
bin1000011110000010101000
311011210112122
420132002220
51032021300
6115330412
724604613
oct10360250
94153478
102220200
111287084
128b0a08
135c9738
1441b17a
152dcc85
hex21e0a8

2220200 has 48 divisors (see below), whose sum is σ = 5473980. Its totient is φ = 834560.

The previous prime is 2220199. The next prime is 2220203. The reversal of 2220200 is 20222.

It can be written as a sum of positive squares in 6 ways, for example, as 813604 + 1406596 = 902^2 + 1186^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2220203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3074 + ... + 3726.

22220200 is an apocalyptic number.

2220200 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 2220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736990).

2220200 is an abundant number, since it is smaller than the sum of its proper divisors (3253780).

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

2220200 is a wasteful number, since it uses less digits than its factorization.

2220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2220200 is about 1490.0335566691. The cubic root of 2220200 is about 130.4559923641.

Adding to 2220200 its reverse (20222), we get a palindrome (2240422).

The spelling of 2220200 in words is "two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 653 680 850 1306 1700 2612 3265 3400 5224 6530 11101 13060 16325 22202 26120 32650 44404 55505 65300 88808 111010 130600 222020 277525 444040 555050 1110100 2220200