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2223960 = 233543431
BaseRepresentation
bin1000011110111101011000
311011222200220
420132331120
51032131320
6115400040
724621564
oct10367530
94158626
102223960
111289992
128b3020
135cb36b
1441c6a4
152dde40
hex21ef58

2223960 has 64 divisors (see below), whose sum is σ = 6842880. Its totient is φ = 577920.

The previous prime is 2223943. The next prime is 2223967. The reversal of 2223960 is 693222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 29 + 213 + 221 + 310 + 95 + 6 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2223960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4945 + ... + 5375.

It is an arithmetic number, because the mean of its divisors is an integer number (106920).

22223960 is an apocalyptic number.

2223960 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 2223960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421440).

2223960 is an abundant number, since it is smaller than the sum of its proper divisors (4618920).

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

2223960 is a wasteful number, since it uses less digits than its factorization.

2223960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2223960 is about 1491.2947394798. The cubic root of 2223960 is about 130.5295950260.

2223960 divided by its sum of digits (24) gives a triangular number (92665 = T430).

The spelling of 2223960 in words is "two million, two hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 431 516 645 860 862 1032 1290 1293 1720 1724 2155 2580 2586 3448 4310 5160 5172 6465 8620 10344 12930 17240 18533 25860 37066 51720 55599 74132 92665 111198 148264 185330 222396 277995 370660 444792 555990 741320 1111980 2223960