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2222480 = 245132137
BaseRepresentation
bin1000011110100110010000
311011220200002
420132212100
51032104410
6115345132
724614351
oct10364620
94156602
102222480
111288867
128b21a8
135ca7a0
1441bd28
152dd7a5
hex21e990

2222480 has 40 divisors (see below), whose sum is σ = 5567352. Its totient is φ = 820224.

The previous prime is 2222477. The next prime is 2222501. The reversal of 2222480 is 842222.

It can be written as a sum of positive squares in 4 ways, for example, as 55696 + 2166784 = 236^2 + 1472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 29 + ... + 2108.

22222480 is an apocalyptic number.

2222480 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 2222480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783676).

2222480 is an abundant number, since it is smaller than the sum of its proper divisors (3344872).

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

2222480 is a wasteful number, since it uses less digits than its factorization.

2222480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2222480 is about 1490.7984437878. The cubic root of 2222480 is about 130.5006336733.

The spelling of 2222480 in words is "two million, two hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2137 4274 8548 10685 17096 21370 27781 34192 42740 55562 85480 111124 138905 170960 222248 277810 444496 555620 1111240 2222480