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2203321248 = 2532231392393
BaseRepresentation
bin1000001101010100…
…0000001110100000
312200112221022112200
42003111000032200
514003022234443
61002344453200
7105412631052
oct20325001640
95615838480
102203321248
11a30798957
12515a7a200
132916252ab
1416c8a38d2
15cd675dd3
hex835403a0

2203321248 has 144 divisors (see below), whose sum is σ = 6587904960. Its totient is φ = 697162752.

The previous prime is 2203321231. The next prime is 2203321273. The reversal of 2203321248 is 8421233022.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919540 + ... + 921932.

It is an arithmetic number, because the mean of its divisors is an integer number (45749340).

Almost surely, 22203321248 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 2203321248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293952480).

2203321248 is an abundant number, since it is smaller than the sum of its proper divisors (4384583712).

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

2203321248 is a wasteful number, since it uses less digits than its factorization.

2203321248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2203321248 is about 46939.5488687312. The cubic root of 2203321248 is about 1301.2456006185.

The spelling of 2203321248 in words is "two billion, two hundred three million, three hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 139 144 184 207 276 278 288 368 414 417 552 556 736 828 834 1104 1112 1251 1656 1668 2208 2224 2393 2502 3197 3312 3336 4448 4786 5004 6394 6624 6672 7179 9572 9591 10008 12788 13344 14358 19144 19182 20016 21537 25576 28716 28773 38288 38364 40032 43074 51152 55039 57432 57546 76576 76728 86148 102304 110078 114864 115092 153456 165117 172296 220156 229728 230184 306912 330234 332627 344592 440312 460368 495351 660468 665254 689184 880624 920736 990702 997881 1320936 1330508 1761248 1981404 1995762 2641872 2661016 2993643 3962808 3991524 5283744 5322032 5987286 7650421 7925616 7983048 10644064 11974572 15300842 15851232 15966096 22951263 23949144 30601684 31932192 45902526 47898288 61203368 68853789 91805052 95796576 122406736 137707578 183610104 244813472 275415156 367220208 550830312 734440416 1101660624 2203321248