Search a number
-
+
2223225340 = 225719899391
BaseRepresentation
bin1000010010000011…
…1011100111111100
312201221101112211021
42010200323213330
514023121202330
61004335233524
7106044050350
oct20440734774
95657345737
102223225340
11a40a53116
125206788a4
132957a3b6b
141713a5460
15d02a867a
hex8483b9fc

2223225340 has 96 divisors (see below), whose sum is σ = 5680281600. Its totient is φ = 713940480.

The previous prime is 2223225317. The next prime is 2223225341. The reversal of 2223225340 is 435223222.

It is a happy number.

2223225340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223225341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232045 + ... + 241435.

It is an arithmetic number, because the mean of its divisors is an integer number (59169600).

Almost surely, 22223225340 is an apocalyptic number.

2223225340 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 2223225340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840140800).

2223225340 is an abundant number, since it is smaller than the sum of its proper divisors (3457056260).

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

2223225340 is a wasteful number, since it uses less digits than its factorization.

2223225340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9515 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2223225340 is about 47151.0905494242. The cubic root of 2223225340 is about 1305.1522045186.

Adding to 2223225340 its reverse (435223222), we get a palindrome (2658448562).

The spelling of 2223225340 in words is "two billion, two hundred twenty-three million, two hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 89 95 133 140 178 190 266 356 380 445 532 623 665 890 1246 1330 1691 1780 2492 2660 3115 3382 6230 6764 8455 9391 11837 12460 16910 18782 23674 33820 37564 46955 47348 59185 65737 93910 118370 131474 178429 187820 236740 262948 328685 356858 657370 713716 835799 892145 1249003 1314740 1671598 1784290 2498006 3343196 3568580 4178995 4996012 5850593 6245015 8357990 11701186 12490030 15880181 16715980 23402372 24980060 29252965 31760362 58505930 63520724 79400905 111161267 117011860 158801810 222322534 317603620 444645068 555806335 1111612670 2223225340