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2223432224 = 251349910711
BaseRepresentation
bin1000010010000110…
…1110001000100000
312201221210001121122
42010201232020200
514023144312344
61004343511412
7106045601456
oct20441561040
95657701548
102223432224
11a410845a2
12520758568
13295847090
1417141a9d6
15d02e9aee
hex8486e220

2223432224 has 48 divisors (see below), whose sum is σ = 4723992000. Its totient is φ = 1024047360.

The previous prime is 2223432221. The next prime is 2223432283. The reversal of 2223432224 is 4222343222.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2223432193 and 2223432202.

It is not an unprimeable number, because it can be changed into a prime (2223432221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202229 + ... + 212939.

It is an arithmetic number, because the mean of its divisors is an integer number (98416500).

Almost surely, 22223432224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361996000).

2223432224 is an abundant number, since it is smaller than the sum of its proper divisors (2500559776).

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

2223432224 is a wasteful number, since it uses less digits than its factorization.

2223432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11233 (or 11225 counting only the distinct ones).

The product of its digits is 9216, while the sum is 26.

The square root of 2223432224 is about 47153.2843394816. The cubic root of 2223432224 is about 1305.1926872546.

Adding to 2223432224 its reverse (4222343222), we get a palindrome (6445775446).

The spelling of 2223432224 in words is "two billion, two hundred twenty-three million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 499 998 1996 3992 6487 7984 10711 12974 15968 21422 25948 42844 51896 85688 103792 139243 171376 207584 278486 342752 556972 1113944 2227888 4455776 5344789 10689578 21379156 42758312 69482257 85516624 138964514 171033248 277929028 555858056 1111716112 2223432224