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2199820 = 225719827
BaseRepresentation
bin1000011001000100001100
311010202120211
420121010030
51030343240
6115052204
724461320
oct10310414
94122524
102199820
111272837
128a1064
135c038c
14413980
152d6bea
hex21910c

2199820 has 48 divisors (see below), whose sum is σ = 5564160. Its totient is φ = 713664.

The previous prime is 2199803. The next prime is 2199823. The reversal of 2199820 is 289912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199823) 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, 2247 + ... + 3073.

It is an arithmetic number, because the mean of its divisors is an integer number (115920).

22199820 is an apocalyptic number.

2199820 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 2199820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782080).

2199820 is an abundant number, since it is smaller than the sum of its proper divisors (3364340).

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

2199820 is a wasteful number, since it uses less digits than its factorization.

2199820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 2199820 is about 1483.1790181903. The cubic root of 2199820 is about 130.0555975208.

The spelling of 2199820 in words is "two million, one hundred ninety-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 827 1330 1654 2660 3308 4135 5789 8270 11578 15713 16540 23156 28945 31426 57890 62852 78565 109991 115780 157130 219982 314260 439964 549955 1099910 2199820