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2220144 = 243232011
BaseRepresentation
bin1000011110000001110000
311011210110120
420132001300
51032021034
6115330240
724604503
oct10360160
94153416
102220144
111287033
128b0980
135c96c4
1441b13a
152dcc49
hex21e070

2220144 has 40 divisors (see below), whose sum is σ = 5987712. Its totient is φ = 707520.

The previous prime is 2220089. The next prime is 2220151. The reversal of 2220144 is 4410222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 2109.

22220144 is an apocalyptic number.

2220144 is a gapful number since it is divisible by the number (24) 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 2220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993856).

2220144 is an abundant number, since it is smaller than the sum of its proper divisors (3767568).

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

2220144 is a wasteful number, since it uses less digits than its factorization.

2220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2220144 is about 1490.0147650275. The cubic root of 2220144 is about 130.4548955265.

Adding to 2220144 its reverse (4410222), we get a palindrome (6630366).

The spelling of 2220144 in words is "two million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 2011 4022 6033 8044 12066 16088 24132 32176 46253 48264 92506 96528 138759 185012 277518 370024 555036 740048 1110072 2220144