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2204900 = 2252171297
BaseRepresentation
bin1000011010010011100100
311011000112222
420122103210
51031024100
6115131512
724512165
oct10322344
94130488
102204900
111276635
128a3b98
135c2799
1441576c
152d8485
hex21a4e4

2204900 has 36 divisors (see below), whose sum is σ = 5069988. Its totient is φ = 829440.

The previous prime is 2204887. The next prime is 2204929. The reversal of 2204900 is 94022.

It can be written as a sum of positive squares in 6 ways, for example, as 289444 + 1915456 = 538^2 + 1384^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1052 + ... + 2348.

It is an arithmetic number, because the mean of its divisors is an integer number (140833).

22204900 is an apocalyptic number.

2204900 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 2204900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534994).

2204900 is an abundant number, since it is smaller than the sum of its proper divisors (2865088).

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

2204900 is a wasteful number, since it uses less digits than its factorization.

2204900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2204900 is about 1484.8905683585. The cubic root of 2204900 is about 130.1556321479.

Adding to 2204900 its reverse (94022), we get a palindrome (2298922).

The spelling of 2204900 in words is "two million, two hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1297 1700 2594 5188 6485 12970 22049 25940 32425 44098 64850 88196 110245 129700 220490 440980 551225 1102450 2204900