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2281749056 = 26412127167
BaseRepresentation
bin1000100000000000…
…1011101001000000
312220000111212021022
42020000023221000
514133111432211
61014225445012
7110354355416
oct21000135100
95800455238
102281749056
11a70a95924
125381a0768
132a4954b92
1417907b2b6
15d54b8bdb
hex8800ba40

2281749056 has 84 divisors (see below), whose sum is σ = 4705526784. Its totient is φ = 1097671680.

The previous prime is 2281749053. The next prime is 2281749077. The reversal of 2281749056 is 6509471822.

It is a happy number.

It is a super-2 number, since 2×22817490562 = 10412757509113782272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2281748998 and 2281749016.

It is not an unprimeable number, because it can be changed into a prime (2281749053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13663085 + ... + 13663251.

It is an arithmetic number, because the mean of its divisors is an integer number (56018176).

Almost surely, 22281749056 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 2281749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352763392).

2281749056 is an abundant number, since it is smaller than the sum of its proper divisors (2423777728).

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

2281749056 is a wasteful number, since it uses less digits than its factorization.

2281749056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 2281749056 is about 47767.6570076448. The cubic root of 2281749056 is about 1316.5053444894.

The spelling of 2281749056 in words is "two billion, two hundred eighty-one million, seven hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 127 164 167 254 328 334 508 656 668 1016 1312 1336 1681 2032 2624 2672 3362 4064 5207 5344 6724 6847 8128 10414 10688 13448 13694 20828 21209 26896 27388 41656 42418 53792 54776 83312 84836 107584 109552 166624 169672 213487 219104 280727 333248 339344 426974 438208 561454 678688 853948 869569 1122908 1357376 1707896 1739138 2245816 3415792 3478276 4491632 6831584 6956552 8983264 13663168 13913104 17966528 27826208 35652329 55652416 71304658 142609316 285218632 570437264 1140874528 2281749056