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2223620 = 225722269
BaseRepresentation
bin1000011110111000000100
311011222020022
420132320010
51032123440
6115354312
724620600
oct10367004
94158208
102223620
111289703
128b2998
135cb169
1441c500
152ddcb5
hex21ee04

2223620 has 36 divisors (see below), whose sum is σ = 5434380. Its totient is φ = 762048.

The previous prime is 2223607. The next prime is 2223623. The reversal of 2223620 is 263222.

2223620 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 1844164 = 616^2 + 1358^2 .

It is not an unprimeable number, because it can be changed into a prime (2223623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155 + ... + 2114.

It is an arithmetic number, because the mean of its divisors is an integer number (150955).

22223620 is an apocalyptic number.

2223620 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 2223620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717190).

2223620 is an abundant number, since it is smaller than the sum of its proper divisors (3210760).

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

2223620 is a wasteful number, since it uses less digits than its factorization.

2223620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2223620 is about 1491.1807402190. The cubic root of 2223620 is about 130.5229428793.

Adding to 2223620 its reverse (263222), we get a palindrome (2486842).

The spelling of 2223620 in words is "two million, two hundred twenty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2269 4538 9076 11345 15883 22690 31766 45380 63532 79415 111181 158830 222362 317660 444724 555905 1111810 2223620