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2223880 = 235531049
BaseRepresentation
bin1000011110111100001000
311011222120221
420132330020
51032131010
6115355424
724621421
oct10367410
94158527
102223880
11128991a
128b2b74
135cb309
1441c648
152dddda
hex21ef08

2223880 has 32 divisors (see below), whose sum is σ = 5103000. Its totient is φ = 871936.

The previous prime is 2223869. The next prime is 2223883. The reversal of 2223880 is 883222.

It can be written as a sum of positive squares in 4 ways, for example, as 2196324 + 27556 = 1482^2 + 166^2 .

It is not an unprimeable number, because it can be changed into a prime (2223883) 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, 1596 + ... + 2644.

22223880 is an apocalyptic number.

2223880 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 2223880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551500).

2223880 is an abundant number, since it is smaller than the sum of its proper divisors (2879120).

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

2223880 is a wasteful number, since it uses less digits than its factorization.

2223880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2223880 is about 1491.2679169083. The cubic root of 2223880 is about 130.5280298760.

The spelling of 2223880 in words is "two million, two hundred twenty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1049 1060 2098 2120 4196 5245 8392 10490 20980 41960 55597 111194 222388 277985 444776 555970 1111940 2223880