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2204244224 = 2873131931
BaseRepresentation
bin1000001101100010…
…0001100100000000
312200121200012121222
42003120201210000
514003241303344
61002420334212
7105423524000
oct20330414400
95617605558
102204244224
11a31269346
12516244368
13291889430
1416ca64000
15cd7a95ee
hex83621900

2204244224 has 144 divisors (see below), whose sum is σ = 5528611200. Its totient is φ = 871557120.

The previous prime is 2204244167. The next prime is 2204244227. The reversal of 2204244224 is 4224424022.

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 = 2204244193 and 2204244202.

It is not an unprimeable number, because it can be changed into a prime (2204244227) 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, 1140539 + ... + 1142469.

Almost surely, 22204244224 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 2204244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764305600).

2204244224 is an abundant number, since it is smaller than the sum of its proper divisors (3324366976).

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

2204244224 is an equidigital number, since it uses as much as digits as its factorization.

2204244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 2204244224 is about 46949.3793782197. The cubic root of 2204244224 is about 1301.4272734449.

Adding to 2204244224 its reverse (4224424022), we get a palindrome (6428668246).

It can be divided in two parts, 22042 and 44224, that added together give a palindrome (66266).

The spelling of 2204244224 in words is "two billion, two hundred four million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 343 364 392 416 448 637 686 728 784 832 896 1274 1372 1456 1568 1664 1792 1931 2548 2744 2912 3136 3328 3862 4459 5096 5488 5824 6272 7724 8918 10192 10976 11648 12544 13517 15448 17836 20384 21952 23296 25103 27034 30896 35672 40768 43904 50206 54068 61792 71344 81536 87808 94619 100412 108136 123584 142688 163072 175721 189238 200824 216272 247168 285376 351442 378476 401648 432544 494336 570752 662333 702884 756952 803296 865088 1141504 1230047 1324666 1405768 1513904 1606592 1730176 2460094 2649332 2811536 3027808 3213184 3460352 4920188 5298664 5623072 6055616 6426368 8610329 9840376 10597328 11246144 12111232 17220658 19680752 21194656 22492288 24222464 34441316 39361504 42389312 44984576 68882632 78723008 84778624 137765264 157446016 169557248 275530528 314892032 551061056 1102122112 2204244224