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2213103312 = 2432710512089
BaseRepresentation
bin1000001111101001…
…0100011011010000
312201020100022000100
42003322110123100
514013023301222
61003334252400
7105562032150
oct20372243320
95636308010
102213103312
11a3626a302
125191b7100
1329366b8b4
1416dccc760
15ce4594ac
hex83e946d0

2213103312 has 120 divisors (see below), whose sum is σ = 7088544320. Its totient is φ = 631411200.

The previous prime is 2213103287. The next prime is 2213103313. The reversal of 2213103312 is 2133013122.

2213103312 is a `hidden beast` number, since 2 + 21 + 310 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213103313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058364 + ... + 1060452.

Almost surely, 22213103312 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 2213103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544272160).

2213103312 is an abundant number, since it is smaller than the sum of its proper divisors (4875441008).

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

2213103312 is a wasteful number, since it uses less digits than its factorization.

2213103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2213103312 is about 47043.6320026420. The cubic root of 2213103312 is about 1303.1684669386.

Adding to 2213103312 its reverse (2133013122), we get a palindrome (4346116434).

The spelling of 2213103312 in words is "two billion, two hundred thirteen million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1051 2089 2102 3153 4178 4204 6267 6306 7357 8356 8408 9459 12534 12612 14623 14714 16712 16816 18801 18918 22071 25068 25224 29246 29428 33424 37602 37836 43869 44142 50136 50448 58492 58856 66213 75204 75672 87738 88284 100272 116984 117712 131607 132426 150408 151344 175476 176568 233968 263214 264852 300816 350952 353136 526428 529704 701904 1052856 1059408 2105712 2195539 4391078 6586617 8782156 13173234 15368773 17564312 19759851 26346468 30737546 35128624 39519702 46106319 52692936 61475092 79039404 92212638 105385872 122950184 138318957 158078808 184425276 245900368 276637914 316157616 368850552 553275828 737701104 1106551656 2213103312