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2221860 = 2235191949
BaseRepresentation
bin1000011110011100100100
311011212211010
420132130210
51032044420
6115342220
724612504
oct10363444
94155733
102221860
111288353
128b1970
135ca414
1441ba04
152dd4e0
hex21e724

2221860 has 48 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 561024.

The previous prime is 2221859. The next prime is 2221861. The reversal of 2221860 is 681222.

It is an interprime number because it is at equal distance from previous prime (2221859) and next prime (2221861).

It is not an unprimeable number, because it can be changed into a prime (2221861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166 + ... + 2114.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

22221860 is an apocalyptic number.

2221860 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 2221860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2221860 is an abundant number, since it is smaller than the sum of its proper divisors (4330140).

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

2221860 is a wasteful number, since it uses less digits than its factorization.

2221860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2221860 is about 1490.5904870218. The cubic root of 2221860 is about 130.4884973934.

It can be divided in two parts, 2221 and 860, that added together give a triangular number (3081 = T78).

The spelling of 2221860 in words is "two million, two hundred twenty-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1949 3898 5847 7796 9745 11694 19490 23388 29235 37031 38980 58470 74062 111093 116940 148124 185155 222186 370310 444372 555465 740620 1110930 2221860