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2223840 = 253541113
BaseRepresentation
bin1000011110111011100000
311011222112110
420132323200
51032130330
6115355320
724621333
oct10367340
94158473
102223840
111289893
128b2b40
135cb2a8
1441c61a
152dddb0
hex21eee0

2223840 has 96 divisors (see below), whose sum is σ = 7239456. Its totient is φ = 573440.

The previous prime is 2223839. The next prime is 2223841. The reversal of 2223840 is 483222.

2223840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2223839) and next prime (2223841).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19624 + ... + 19736.

It is an arithmetic number, because the mean of its divisors is an integer number (75411).

22223840 is an apocalyptic number.

2223840 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 2223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728).

2223840 is an abundant number, since it is smaller than the sum of its proper divisors (5015616).

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

2223840 is a wasteful number, since it uses less digits than its factorization.

2223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2223840 is about 1491.2545054416. The cubic root of 2223840 is about 130.5272472869.

The spelling of 2223840 in words is "two million, two hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 113 120 123 160 164 205 226 240 246 328 339 410 452 480 492 565 615 656 678 820 904 984 1130 1230 1312 1356 1640 1695 1808 1968 2260 2460 2712 3280 3390 3616 3936 4520 4633 4920 5424 6560 6780 9040 9266 9840 10848 13560 13899 18080 18532 19680 23165 27120 27798 37064 46330 54240 55596 69495 74128 92660 111192 138990 148256 185320 222384 277980 370640 444768 555960 741280 1111920 2223840