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2244134214 = 233743313711
BaseRepresentation
bin1000010111000010…
…1100010101000110
312210101201211102000
42011300230111012
514043444243324
61010403330130
7106416553230
oct20560542506
95711654360
102244134214
11a51834283
12527680946
13299c14b8a
14174089250
15d20389c9
hex85c2c546

2244134214 has 64 divisors (see below), whose sum is σ = 5712967680. Its totient is φ = 639653760.

The previous prime is 2244134203. The next prime is 2244134227. The reversal of 2244134214 is 4124314422.

2244134214 is a `hidden beast` number, since 2 + 2 + 441 + 3 + 4 + 214 = 666.

It is a super-2 number, since 2×22441342142 = 10072276740890795592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 156819 + ... + 170529.

It is an arithmetic number, because the mean of its divisors is an integer number (89265120).

Almost surely, 22244134214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244134214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856483840).

2244134214 is an abundant number, since it is smaller than the sum of its proper divisors (3468833466).

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

2244134214 is a wasteful number, since it uses less digits than its factorization.

2244134214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14162 (or 14156 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2244134214 is about 47372.2937380068. The cubic root of 2244134214 is about 1309.2309869913.

Adding to 2244134214 its reverse (4124314422), we get a palindrome (6368448636).

The spelling of 2244134214 in words is "two billion, two hundred forty-four million, one hundred thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 433 866 1299 2598 3031 3897 6062 7794 9093 11691 13711 18186 23382 27279 27422 41133 54558 81837 82266 95977 123399 163674 191954 246798 287931 370197 575862 740394 863793 1727586 2591379 5182758 5936863 11873726 17810589 35621178 41558041 53431767 83116082 106863534 124674123 160295301 249348246 320590602 374022369 748044738 1122067107 2244134214