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2214340212 = 223743253269
BaseRepresentation
bin1000001111111100…
…0010011001110100
312201022200010201110
42003333002121310
514013332341322
61003420555020
7105605403240
oct20377023164
95638603643
102214340212
11a36a34637
125196b2a70
132939b28a6
14170131420
15ce600c0c
hex83fc2674

2214340212 has 144 divisors (see below), whose sum is σ = 6182386560. Its totient is φ = 604041984.

The previous prime is 2214340181. The next prime is 2214340223. The reversal of 2214340212 is 2120434122.

2214340212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8231614 + ... + 8231882.

It is an arithmetic number, because the mean of its divisors is an integer number (42933240).

Almost surely, 22214340212 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 2214340212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091193280).

2214340212 is an abundant number, since it is smaller than the sum of its proper divisors (3968046348).

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

2214340212 is a wasteful number, since it uses less digits than its factorization.

2214340212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2214340212 is about 47056.7764726824. The cubic root of 2214340212 is about 1303.4112013329.

Adding to 2214340212 its reverse (2120434122), we get a palindrome (4334774334).

The spelling of 2214340212 in words is "two billion, two hundred fourteen million, three hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 53 84 86 106 129 159 172 212 258 269 301 318 371 516 538 602 636 742 807 903 1076 1113 1204 1484 1614 1806 1849 1883 2226 2279 3228 3612 3698 3766 4452 4558 5547 5649 6837 7396 7532 9116 11094 11298 11567 12943 13674 14257 15953 22188 22596 23134 25886 27348 28514 31906 34701 38829 42771 46268 47859 51772 57028 63812 69402 77658 80969 85542 95718 97997 99799 138804 155316 161938 171084 191436 195994 199598 242907 293991 299397 323876 391988 399196 485814 497381 587982 598794 613051 685979 971628 994762 1175964 1197588 1226102 1371958 1492143 1839153 1989524 2057937 2452204 2743916 2984286 3481667 3678306 4115874 4291357 5968572 6963334 7356612 8231748 8582714 10445001 12874071 13926668 17165428 20890002 25748142 26361193 41780004 51496284 52722386 79083579 105444772 158167158 184528351 316334316 369056702 553585053 738113404 1107170106 2214340212