Search a number
-
+
2271367872 = 26334727967
BaseRepresentation
bin1000011101100010…
…0101001011000000
312212021222102222000
42013120211023000
514122432232442
61013215144000
7110200210524
oct20730451300
95767872860
102271367872
11a66145334
12534815000
132a275b977
14177937d84
15d4617d4c
hex876252c0

2271367872 has 112 divisors (see below), whose sum is σ = 6819717120. Its totient is φ = 740987136.

The previous prime is 2271367849. The next prime is 2271367907. The reversal of 2271367872 is 2787631722.

It is a super-2 number, since 2×22713678722 = 10318224019907616768, which contains 22 as substring.

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, 67233 + ... + 95199.

Almost surely, 22271367872 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 2271367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409858560).

2271367872 is an abundant number, since it is smaller than the sum of its proper divisors (4548349248).

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

2271367872 is a wasteful number, since it uses less digits than its factorization.

2271367872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28035 (or 28019 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 2271367872 is about 47658.8698145476. The cubic root of 2271367872 is about 1314.5057580622.

The spelling of 2271367872 in words is "two billion, two hundred seventy-one million, three hundred sixty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 282 288 376 423 432 564 576 752 846 864 1128 1269 1504 1692 1728 2256 2538 3008 3384 4512 5076 6768 9024 10152 13536 20304 27072 27967 40608 55934 81216 83901 111868 167802 223736 251703 335604 447472 503406 671208 755109 894944 1006812 1314449 1342416 1510218 1789888 2013624 2628898 2684832 3020436 3943347 4027248 5257796 5369664 6040872 7886694 8054496 10515592 11830041 12081744 15773388 16108992 21031184 23660082 24163488 31546776 35490123 42062368 47320164 48326976 63093552 70980246 84124736 94640328 126187104 141960492 189280656 252374208 283920984 378561312 567841968 757122624 1135683936 2271367872