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2204140224 = 263111380279
BaseRepresentation
bin1000001101100000…
…1000001011000000
312200121110220222010
42003120020023000
514003224441344
61002414212520
7105422611536
oct20330101300
95617426863
102204140224
11a311a81a0
125161b4140
13291850cb0
1416ca38156
15cd7888b9
hex836082c0

2204140224 has 112 divisors (see below), whose sum is σ = 6851416320. Its totient is φ = 616535040.

The previous prime is 2204140199. The next prime is 2204140229. The reversal of 2204140224 is 4220414022.

It is a self number, because there is not a number n which added to its sum of digits gives 2204140224.

It is not an unprimeable number, because it can be changed into a prime (2204140229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12684 + ... + 67595.

It is an arithmetic number, because the mean of its divisors is an integer number (61173360).

Almost surely, 22204140224 is an apocalyptic number.

2204140224 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 2204140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425708160).

2204140224 is an abundant number, since it is smaller than the sum of its proper divisors (4647276096).

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

2204140224 is a wasteful number, since it uses less digits than its factorization.

2204140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80318 (or 80308 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2204140224 is about 46948.2717892789. The cubic root of 2204140224 is about 1301.4068052705.

Adding to 2204140224 its reverse (4220414022), we get a palindrome (6424554246).

The spelling of 2204140224 in words is "two billion, two hundred four million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 27456 80279 160558 240837 321116 481674 642232 883069 963348 1043627 1284464 1766138 1926696 2087254 2568928 2649207 3130881 3532276 3853392 4174508 5137856 5298414 6261762 7064552 7706784 8349016 10596828 11479897 12523524 14129104 15413568 16698032 21193656 22959794 25047048 28258208 33396064 34439691 42387312 45919588 50094096 56516416 66792128 68879382 84774624 91839176 100188192 137758764 169549248 183678352 200376384 275517528 367356704 551035056 734713408 1102070112 2204140224