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2281865248 = 251397193293
BaseRepresentation
bin1000100000000010…
…1000000000100000
312220000201202122201
42020000220000200
514133124141443
61014232142544
7110355351235
oct21000500040
95800652581
102281865248
11a71065153
12538237a54
132a4995a30
141790ab78c
15d54dd34d
hex88028020

2281865248 has 96 divisors (see below), whose sum is σ = 4929963696. Its totient is φ = 1033371648.

The previous prime is 2281865231. The next prime is 2281865263. The reversal of 2281865248 is 8425681822.

It can be written as a sum of positive squares in 8 ways, for example, as 957778704 + 1324086544 = 30948^2 + 36388^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2281865198 and 2281865207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7787790 + ... + 7788082.

Almost surely, 22281865248 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 2281865248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464981848).

2281865248 is an abundant number, since it is smaller than the sum of its proper divisors (2648098448).

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

2281865248 is a wasteful number, since it uses less digits than its factorization.

2281865248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its digits is 491520, while the sum is 46.

The square root of 2281865248 is about 47768.8732125848. The cubic root of 2281865248 is about 1316.5276906208.

The spelling of 2281865248 in words is "two billion, two hundred eighty-one million, eight hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 193 194 208 293 386 388 416 586 772 776 1172 1261 1544 1552 2344 2509 2522 3088 3104 3809 4688 5018 5044 6176 7618 9376 10036 10088 15236 18721 20072 20176 28421 30472 37442 40144 40352 56549 56842 60944 74884 80288 113098 113684 121888 149768 226196 227368 243373 299536 369473 452392 454736 486746 599072 735137 738946 904784 909472 973492 1470274 1477892 1809568 1946984 2940548 2955784 3893968 5485253 5881096 5911568 7787936 10970506 11762192 11823136 21941012 23524384 43882024 71308289 87764048 142616578 175528096 285233156 570466312 1140932624 2281865248