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2220444 = 2232371667
BaseRepresentation
bin1000011110000110011100
311011210212200
420132012130
51032023234
6115331500
724605412
oct10360634
94153780
102220444
111287286
128b0b90
135c9895
1441b2b2
152dcd99
hex21e19c

2220444 has 36 divisors (see below), whose sum is σ = 5767944. Its totient is φ = 719712.

The previous prime is 2220431. The next prime is 2220457. The reversal of 2220444 is 4440222.

2220444 is a `hidden beast` number, since 2 + 220 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (2220431) and next prime (2220457).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 499 + ... + 2165.

22220444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883972).

2220444 is an abundant number, since it is smaller than the sum of its proper divisors (3547500).

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

2220444 is a wasteful number, since it uses less digits than its factorization.

2220444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2220444 is about 1490.1154317703. The cubic root of 2220444 is about 130.4607712273.

Adding to 2220444 its reverse (4440222), we get a palindrome (6660666).

The spelling of 2220444 in words is "two million, two hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1667 3334 5001 6668 10002 15003 20004 30006 60012 61679 123358 185037 246716 370074 555111 740148 1110222 2220444