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2286451328 = 27721073407
BaseRepresentation
bin1000100001001000…
…0111101010000000
312220100100202120112
42020102013222000
514140312420303
61014514330452
7110442341600
oct21022075200
95810322515
102286451328
11a737077a7
12539889a28
132a59102a5
14179942c00
15d5ae70d8
hex88487a80

2286451328 has 96 divisors (see below), whose sum is σ = 5349810240. Its totient is φ = 970464768.

The previous prime is 2286451319. The next prime is 2286451331. The reversal of 2286451328 is 8231546822.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669401 + ... + 672807.

It is an arithmetic number, because the mean of its divisors is an integer number (55727190).

Almost surely, 22286451328 is an apocalyptic number.

2286451328 is a gapful number since it is divisible by the number (28) 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 2286451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674905120).

2286451328 is an abundant number, since it is smaller than the sum of its proper divisors (3063358912).

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

2286451328 is a wasteful number, since it uses less digits than its factorization.

2286451328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3523 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 2286451328 is about 47816.8519248183. The cubic root of 2286451328 is about 1317.4090837385.

The spelling of 2286451328 in words is "two billion, two hundred eighty-six million, four hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 107 112 128 196 214 224 392 428 448 749 784 856 896 1498 1568 1712 2996 3136 3407 3424 5243 5992 6272 6814 6848 10486 11984 13628 13696 20972 23849 23968 27256 41944 47698 47936 54512 83888 95396 95872 109024 166943 167776 190792 218048 333886 335552 364549 381584 436096 667772 671104 729098 763168 1335544 1458196 1526336 2551843 2671088 2916392 3052672 5103686 5342176 5832784 10207372 10684352 11665568 17862901 20414744 21368704 23331136 35725802 40829488 46662272 71451604 81658976 142903208 163317952 285806416 326635904 571612832 1143225664 2286451328