Search a number
-
+
2215810884 = 2237713131187
BaseRepresentation
bin1000010000010010…
…1001011101000100
312201102102212002210
42010010221131010
514014221422014
61003512303420
7105624040020
oct20404513504
95642385083
102215810884
11a37849571
1251a0a1b70
132940a9101
141703d5380
15ce7e1859
hex84129744

2215810884 has 96 divisors (see below), whose sum is σ = 6016260096. Its totient is φ = 621653760.

The previous prime is 2215810879. The next prime is 2215810931. The reversal of 2215810884 is 4880185122.

It is a super-2 number, since 2×22158108842 = 9819635747305722912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866139 + ... + 1867325.

It is an arithmetic number, because the mean of its divisors is an integer number (62669376).

Almost surely, 22215810884 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 2215810884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008130048).

2215810884 is an abundant number, since it is smaller than the sum of its proper divisors (3800449212).

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

2215810884 is a wasteful number, since it uses less digits than its factorization.

2215810884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 2215810884 is about 47072.4004486706. The cubic root of 2215810884 is about 1303.6996945119.

The spelling of 2215810884 in words is "two billion, two hundred fifteen million, eight hundred ten thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 313 426 497 626 852 939 994 1187 1252 1491 1878 1988 2191 2374 2982 3561 3756 4382 4748 5964 6573 7122 8309 8764 13146 14244 16618 22223 24927 26292 33236 44446 49854 66669 84277 88892 99708 133338 155561 168554 252831 266676 311122 337108 371531 466683 505662 589939 622244 743062 933366 1011324 1114593 1179878 1486124 1769817 1866732 2229186 2359756 2600717 3539634 4458372 5201434 7079268 7802151 10402868 15604302 26378701 31208604 52757402 79136103 105514804 158272206 184650907 316544412 369301814 553952721 738603628 1107905442 2215810884