Search a number
-
+
2223680 = 2656949
BaseRepresentation
bin1000011110111001000000
311011222022112
420132321000
51032124210
6115354452
724621014
oct10367100
94158275
102223680
111289758
128b2a28
135cb1b4
1441c544
152ddd05
hex21ee40

2223680 has 28 divisors (see below), whose sum is σ = 5295900. Its totient is φ = 889344.

The previous prime is 2223679. The next prime is 2223701. The reversal of 2223680 is 863222.

It can be written as a sum of positive squares in 2 ways, for example, as 1420864 + 802816 = 1192^2 + 896^2 .

It is a super-3 number, since 3×22236803 = 32986643334660096000, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3155 + ... + 3794.

22223680 is an apocalyptic number.

2223680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223680 is an abundant number, since it is smaller than the sum of its proper divisors (3072220).

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

2223680 is an equidigital number, since it uses as much as digits as its factorization.

2223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2223680 is about 1491.2008583689. The cubic root of 2223680 is about 130.5241168368.

The spelling of 2223680 in words is "two million, two hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6949 13898 27796 34745 55592 69490 111184 138980 222368 277960 444736 555920 1111840 2223680