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2260406016 = 28321189189
BaseRepresentation
bin1000011010111011…
…0000111100000000
312211112100112010100
42012232300330000
514112130443031
61012144202400
7110005064001
oct20656607400
95745315110
102260406016
11a5aa38550
12531009400
132a03c136b
141762c31a8
15d369ede6
hex86bb0f00

2260406016 has 108 divisors (see below), whose sum is σ = 7109870040. Its totient is φ = 684963840.

The previous prime is 2260405999. The next prime is 2260406017. The reversal of 2260406016 is 6106040622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260406017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19251 + ... + 69938.

It is an arithmetic number, because the mean of its divisors is an integer number (65832130).

Almost surely, 22260406016 is an apocalyptic number.

It is an amenable number.

2260406016 is an abundant number, since it is smaller than the sum of its proper divisors (4849464024).

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

2260406016 is a wasteful number, since it uses less digits than its factorization.

2260406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89222 (or 89205 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2260406016 is about 47543.7274096173. The cubic root of 2260406016 is about 1312.3877002148.

Adding to 2260406016 its reverse (6106040622), we get a palindrome (8366446638).

The spelling of 2260406016 in words is "two billion, two hundred sixty million, four hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 89189 178378 267567 356756 535134 713512 802701 981079 1070268 1427024 1605402 1962158 2140536 2854048 2943237 3210804 3924316 4281072 5708096 5886474 6421608 7848632 8562144 8829711 11416192 11772948 12843216 15697264 17124288 17659422 22832384 23545896 25686432 31394528 34248576 35318844 47091792 51372864 62789056 68497152 70637688 94183584 102745728 125578112 141275376 188367168 205491456 251156224 282550752 376734336 565101504 753468672 1130203008 2260406016