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2221960 = 235134273
BaseRepresentation
bin1000011110011110001000
311011212221211
420132132020
51032100320
6115342504
724613006
oct10363610
94155854
102221960
111288434
128b1a34
135ca490
1441ba76
152dd55a
hex21e788

2221960 has 32 divisors (see below), whose sum is σ = 5385240. Its totient is φ = 820224.

The previous prime is 2221949. The next prime is 2221969. The reversal of 2221960 is 691222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1127844 + 1094116 = 1062^2 + 1046^2 .

It is not an unprimeable number, because it can be changed into a prime (2221969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1617 + ... + 2656.

22221960 is an apocalyptic number.

2221960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221960 is an abundant number, since it is smaller than the sum of its proper divisors (3163280).

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

2221960 is a wasteful number, since it uses less digits than its factorization.

2221960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2221960 is about 1490.6240303980. The cubic root of 2221960 is about 130.4904550106.

The spelling of 2221960 in words is "two million, two hundred twenty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4273 8546 17092 21365 34184 42730 55549 85460 111098 170920 222196 277745 444392 555490 1110980 2221960