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2204000 = 25531929
BaseRepresentation
bin1000011010000101100000
311010222022122
420122011200
51031012000
6115123412
724506441
oct10320540
94128278
102204000
111275997
128a3568
135c2256
144152c8
152d8085
hex21a160

2204000 has 96 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 806400.

The previous prime is 2203997. The next prime is 2204003. The reversal of 2204000 is 4022.

It is an interprime number because it is at equal distance from previous prime (2203997) and next prime (2204003).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75986 + ... + 76014.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

22204000 is an apocalyptic number.

2204000 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 2204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2204000 is an abundant number, since it is smaller than the sum of its proper divisors (3692800).

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

2204000 is a wasteful number, since it uses less digits than its factorization.

2204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

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

The square root of 2204000 is about 1484.5874847917. The cubic root of 2204000 is about 130.1379206854.

Adding to 2204000 its reverse (4022), we get a palindrome (2208022).

The spelling of 2204000 in words is "two million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 29 32 38 40 50 58 76 80 95 100 116 125 145 152 160 190 200 232 250 290 304 380 400 464 475 500 551 580 608 725 760 800 928 950 1000 1102 1160 1450 1520 1900 2000 2204 2320 2375 2755 2900 3040 3625 3800 4000 4408 4640 4750 5510 5800 7250 7600 8816 9500 11020 11600 13775 14500 15200 17632 19000 22040 23200 27550 29000 38000 44080 55100 58000 68875 76000 88160 110200 116000 137750 220400 275500 440800 551000 1102000 2204000