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2280207328 = 25719618783
BaseRepresentation
bin1000011111101001…
…0011001111100000
312212220121112102021
42013322103033200
514132213113303
61014132431224
7110335304530
oct20772231740
95786545367
102280207328
11a70132573
12537778514
132a4535209
14178b994c0
15d52b1ebd
hex87e933e0

2280207328 has 96 divisors (see below), whose sum is σ = 5489648640. Its totient is φ = 910517760.

The previous prime is 2280207317. The next prime is 2280207359. The reversal of 2280207328 is 8237020822.

2280207328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2280207293 and 2280207302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255225 + ... + 264007.

It is an arithmetic number, because the mean of its divisors is an integer number (57183840).

Almost surely, 22280207328 is an apocalyptic number.

2280207328 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 2280207328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744824320).

2280207328 is an abundant number, since it is smaller than the sum of its proper divisors (3209441312).

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

2280207328 is a wasteful number, since it uses less digits than its factorization.

2280207328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8880 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2280207328 is about 47751.5164994788. The cubic root of 2280207328 is about 1316.2087663800.

The spelling of 2280207328 in words is "two billion, two hundred eighty million, two hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 61 76 112 122 133 152 224 244 266 304 427 488 532 608 854 976 1064 1159 1708 1952 2128 2318 3416 4256 4636 6832 8113 8783 9272 13664 16226 17566 18544 32452 35132 37088 61481 64904 70264 122962 129808 140528 166877 245924 259616 281056 333754 491848 535763 667508 983696 1071526 1168139 1335016 1967392 2143052 2336278 2670032 3750341 4286104 4672556 5340064 7500682 8572208 9345112 10179497 15001364 17144416 18690224 20358994 30002728 37380448 40717988 60005456 71256479 81435976 120010912 142512958 162871952 285025916 325743904 570051832 1140103664 2280207328