Search a number
-
+
2223422304 = 25346350023
BaseRepresentation
bin1000010010000110…
…1011101101100000
312201221202120000020
42010201223231200
514023144003204
61004343353440
7106045530525
oct20441535540
95657676006
102223422304
11a410780a4
12520752880
132958426cc
1417141714c
15d02e6bd9
hex8486bb60

2223422304 has 48 divisors (see below), whose sum is σ = 5849206272. Its totient is φ = 739525248.

The previous prime is 2223422273. The next prime is 2223422309. The reversal of 2223422304 is 4032243222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223422309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19437 + ... + 69459.

It is an arithmetic number, because the mean of its divisors is an integer number (121858464).

Almost surely, 22223422304 is an apocalyptic number.

2223422304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2223422304 is an abundant number, since it is smaller than the sum of its proper divisors (3625783968).

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

2223422304 is a wasteful number, since it uses less digits than its factorization.

2223422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50499 (or 50491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2223422304 is about 47153.1791505090. The cubic root of 2223422304 is about 1305.1907461819.

Adding to 2223422304 its reverse (4032243222), we get a palindrome (6255665526).

The spelling of 2223422304 in words is "two billion, two hundred twenty-three million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 463 926 1389 1852 2778 3704 5556 7408 11112 14816 22224 44448 50023 100046 150069 200092 300138 400184 600276 800368 1200552 1600736 2401104 4802208 23160649 46321298 69481947 92642596 138963894 185285192 277927788 370570384 555855576 741140768 1111711152 2223422304