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2124224212 = 2211213133503
BaseRepresentation
bin111111010011101…
…0001011011010100
312111001002202210211
41332213101123110
513322300133322
6550441255204
7103432415335
oct17647213324
95431082724
102124224212
119a0084100
124b3494504
1327b11cc06
1416219428c
15c674eb77
hex7e9d16d4

2124224212 has 36 divisors (see below), whose sum is σ = 4117373568. Its totient is φ = 958157200.

The previous prime is 2124224203. The next prime is 2124224231.

2124224212 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×21242242124 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46653 + ... + 80155.

It is an arithmetic number, because the mean of its divisors is an integer number (114371488).

Almost surely, 22124224212 is an apocalyptic number.

2124224212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2124224212 is a deficient number, since it is larger than the sum of its proper divisors (1993149356).

2124224212 is a wasteful number, since it uses less digits than its factorization.

2124224212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33660 (or 33647 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 2124224212 is about 46089.3069160299. The cubic root of 2124224212 is about 1285.4843237840.

It can be divided in two parts, 21242 and 24212, that added together give a palindrome (45454).

The spelling of 2124224212 in words is "two billion, one hundred twenty-four million, two hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 121 131 242 262 484 524 1441 2882 5764 15851 31702 33503 63404 67006 134012 368533 737066 1474132 4053863 4388893 8107726 8777786 16215452 17555572 48277823 96555646 193111292 531056053 1062112106 2124224212