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2204533344 = 253132177993
BaseRepresentation
bin1000001101100110…
…1000001001100000
312200122012220020010
42003121220021200
514003330031334
61002430444520
7105426136626
oct20331501140
95618186203
102204533344
11a31446592
12516363740
1329195ac00
1416cadb516
15cd8150e9
hex83668260

2204533344 has 144 divisors (see below), whose sum is σ = 6635723472. Its totient is φ = 638337024.

The previous prime is 2204533337. The next prime is 2204533367. The reversal of 2204533344 is 4433354022.

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 23 ways as a sum of consecutive naturals, for example, 271812 + ... + 279804.

It is an arithmetic number, because the mean of its divisors is an integer number (46081413).

Almost surely, 22204533344 is an apocalyptic number.

2204533344 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 2204533344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317861736).

2204533344 is an abundant number, since it is smaller than the sum of its proper divisors (4431190128).

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

2204533344 is a wasteful number, since it uses less digits than its factorization.

2204533344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The square root of 2204533344 is about 46952.4583381957. The cubic root of 2204533344 is about 1301.4841715870.

Adding to 2204533344 its reverse (4433354022), we get a palindrome (6637887366).

The spelling of 2204533344 in words is "two billion, two hundred four million, five hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 169 204 208 221 272 312 338 408 416 442 507 544 624 663 676 816 884 1014 1248 1326 1352 1632 1768 2028 2652 2704 2873 3536 4056 5304 5408 5746 7072 7993 8112 8619 10608 11492 15986 16224 17238 21216 22984 23979 31972 34476 45968 47958 63944 68952 91936 95916 103909 127888 135881 137904 191832 207818 255776 271762 275808 311727 383664 407643 415636 543524 623454 767328 815286 831272 1087048 1246908 1350817 1630572 1662544 1766453 2174096 2493816 2701634 3261144 3325088 3532906 4052451 4348192 4987632 5299359 5403268 6522288 7065812 8104902 9975264 10598718 10806536 13044576 14131624 16209804 21197436 21613072 22963889 28263248 32419608 42394872 43226144 45927778 56526496 64839216 68891667 84789744 91855556 129678432 137783334 169579488 183711112 275566668 367422224 551133336 734844448 1102266672 2204533344