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2223040224 = 253172934649
BaseRepresentation
bin1000010010000000…
…1110011011100000
312201221001010220010
42010200032123200
514023044241344
61004331244520
7106042346556
oct20440163340
95657033803
102223040224
11a40937029
125205a9740
1329573a822
14171357bd6
15d026d8b9
hex8480e6e0

2223040224 has 96 divisors (see below), whose sum is σ = 6201165600. Its totient is φ = 694894592.

The previous prime is 2223040219. The next prime is 2223040231. The reversal of 2223040224 is 4220403222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2223040224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475852 + ... + 480500.

It is an arithmetic number, because the mean of its divisors is an integer number (64595475).

Almost surely, 22223040224 is an apocalyptic number.

2223040224 is a gapful number since it is divisible by the number (24) 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 2223040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100582800).

2223040224 is an abundant number, since it is smaller than the sum of its proper divisors (3978125376).

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

2223040224 is a wasteful number, since it uses less digits than its factorization.

2223040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2223040224 is about 47149.1274998806. The cubic root of 2223040224 is about 1305.1159791816.

Adding to 2223040224 its reverse (4220403222), we get a palindrome (6443443446).

The spelling of 2223040224 in words is "two billion, two hundred twenty-three million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 293 408 544 586 816 879 1172 1632 1758 2344 3516 4649 4688 4981 7032 9298 9376 9962 13947 14064 14943 18596 19924 27894 28128 29886 37192 39848 55788 59772 74384 79033 79696 111576 119544 148768 158066 159392 223152 237099 239088 316132 446304 474198 478176 632264 948396 1264528 1362157 1896792 2529056 2724314 3793584 4086471 5448628 7587168 8172942 10897256 16345884 21794512 23156669 32691768 43589024 46313338 65383536 69470007 92626676 130767072 138940014 185253352 277880028 370506704 555760056 741013408 1111520112 2223040224