Search a number
-
+
2187007812 = 22321116213407
BaseRepresentation
bin1000001001011011…
…0001011101000100
312122102020111201100
42002112301131010
513434333222222
61001003100100
7105124155033
oct20226613504
95572214640
102187007812
11a22566380
12510511630
1328b132b82
1416a65871a
15cc0024ac
hex825b1744

2187007812 has 72 divisors (see below), whose sum is σ = 6036331392. Its totient is φ = 662126400.

The previous prime is 2187007799. The next prime is 2187007813.

It is a happy number.

2187007812 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2187007813) 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 23 ways as a sum of consecutive naturals, for example, 640213 + ... + 643619.

It is an arithmetic number, because the mean of its divisors is an integer number (83837936).

Almost surely, 22187007812 is an apocalyptic number.

2187007812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2187007812 is an abundant number, since it is smaller than the sum of its proper divisors (3849323580).

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

2187007812 is a wasteful number, since it uses less digits than its factorization.

2187007812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 2187007812 is about 46765.4553276240. The cubic root of 2187007812 is about 1298.0261587966.

The spelling of 2187007812 in words is "two billion, one hundred eighty-seven million, seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1621 3242 3407 4863 6484 6814 9726 10221 13628 14589 17831 19452 20442 29178 30663 35662 37477 40884 53493 58356 61326 71324 74954 106986 112431 122652 149908 160479 213972 224862 320958 337293 449724 641916 674586 1349172 5522747 11045494 16568241 22090988 33136482 49704723 60750217 66272964 99409446 121500434 182250651 198818892 243000868 364501302 546751953 729002604 1093503906 2187007812