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212464464212 = 2271113109486817
BaseRepresentation
bin1100010111011111011…
…1100111000101010100
3202022102000101001222002
43011313313213011110
511440111400323322
6241334350454432
721231032101550
oct3056767470524
9668360331862
10212464464212
11821187186a0
1235215b04418
131705c7761a0
14a3d7684860
1557d788dc92
hex3177de7154

212464464212 has 96 divisors (see below), whose sum is σ = 503798211840. Its totient is φ = 75709624320.

The previous prime is 212464464181. The next prime is 212464464221.

212464464212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2124644642122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193028 + ... + 679844.

It is an arithmetic number, because the mean of its divisors is an integer number (5247898040).

Almost surely, 2212464464212 is an apocalyptic number.

212464464212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212464464212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251899105920).

212464464212 is an abundant number, since it is smaller than the sum of its proper divisors (291333747628).

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

212464464212 is a wasteful number, since it uses less digits than its factorization.

212464464212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486961 (or 486959 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

It can be divided in two parts, 212464 and 464212, that added together give a palindrome (676676).

The spelling of 212464464212 in words is "two hundred twelve billion, four hundred sixty-four million, four hundred sixty-four thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 109 143 154 182 218 286 308 364 436 572 763 1001 1199 1417 1526 2002 2398 2834 3052 4004 4796 5668 8393 9919 15587 16786 19838 31174 33572 39676 62348 109109 218218 436436 486817 973634 1947268 3407719 5354987 6328621 6815438 10709974 12657242 13630876 21419948 25314484 37484909 44300347 53063053 69614831 74969818 88600694 106126106 139229662 149939636 177201388 212252212 278459324 371441371 487303817 583693583 689819689 742882742 974607634 1167387166 1379639378 1485765484 1949215268 2334774332 2759278756 4085855081 4828737823 7588016579 8171710162 9657475646 15176033158 16343420324 19314951292 30352066316 53116116053 106232232106 212464464212