Search a number
-
+
2114214012 = 22323110118757
BaseRepresentation
bin111111000000100…
…0101100001111100
312110100021012101200
41332001011201330
513312214322022
6545442535500
7103251344151
oct17601054174
95410235350
102114214012
11995467309
124b0067590
13279026811
14160b0a228
15c5923bac
hex7e04587c

2114214012 has 72 divisors (see below), whose sum is σ = 5571576192. Its totient is φ = 675216000.

The previous prime is 2114214001. The next prime is 2114214013. The reversal of 2114214012 is 2104124112.

It is a super-2 number, since 2×21142140122 = 8939801777074272288, which contains 22 as substring.

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 (2114214013) 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, 103338 + ... + 122094.

Almost surely, 22114214012 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 2114214012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785788096).

2114214012 is an abundant number, since it is smaller than the sum of its proper divisors (3457362180).

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

2114214012 is a wasteful number, since it uses less digits than its factorization.

2114214012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18899 (or 18894 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2114214012 is about 45980.5829889096. The cubic root of 2114214012 is about 1283.4619036796.

Adding to 2114214012 its reverse (2104124112), we get a palindrome (4218338124).

The spelling of 2114214012 in words is "two billion, one hundred fourteen million, two hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 101 124 186 202 279 303 372 404 558 606 909 1116 1212 1818 3131 3636 6262 9393 12524 18757 18786 28179 37514 37572 56271 56358 75028 112542 112716 168813 225084 337626 581467 675252 1162934 1744401 1894457 2325868 3488802 3788914 5233203 5683371 6977604 7577828 10466406 11366742 17050113 20932812 22733484 34100226 58728167 68200452 117456334 176184501 234912668 352369002 528553503 704738004 1057107006 2114214012