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2271678304 = 257194312413
BaseRepresentation
bin1000011101100111…
…0000111101100000
312212022120012210111
42013121300331200
514123022201204
61013225541104
7110202642550
oct20731607540
95768505714
102271678304
11a66337595
12534944794
132a283a05c
141779b9160
15d4679d04
hex87670f60

2271678304 has 96 divisors (see below), whose sum is σ = 5505857280. Its totient is φ = 900813312.

The previous prime is 2271678281. The next prime is 2271678341. The reversal of 2271678304 is 4038761722.

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, 176802 + ... + 189214.

It is an arithmetic number, because the mean of its divisors is an integer number (57352680).

Almost surely, 22271678304 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 2271678304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752928640).

2271678304 is an abundant number, since it is smaller than the sum of its proper divisors (3234178976).

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

2271678304 is a wasteful number, since it uses less digits than its factorization.

2271678304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12492 (or 12484 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 2271678304 is about 47662.1265157148. The cubic root of 2271678304 is about 1314.5656406360.

The spelling of 2271678304 in words is "two billion, two hundred seventy-one million, six hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 43 56 76 86 112 133 152 172 224 266 301 304 344 532 602 608 688 817 1064 1204 1376 1634 2128 2408 3268 4256 4816 5719 6536 9632 11438 12413 13072 22876 24826 26144 45752 49652 86891 91504 99304 173782 183008 198608 235847 347564 397216 471694 533759 695128 943388 1067518 1390256 1650929 1886776 2135036 2780512 3301858 3736313 3773552 4270072 6603716 7472626 7547104 8540144 10141421 13207432 14945252 17080288 20282842 26414864 29890504 40565684 52829728 59781008 70989947 81131368 119562016 141979894 162262736 283959788 324525472 567919576 1135839152 2271678304