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2114234444 = 22717291031487
BaseRepresentation
bin111111000000100…
…1010100001001100
312110100022020102102
41332001022201030
513312221000234
6545443214232
7103251460550
oct17601124114
95410266372
102114234444
119954806a3
124b0077378
13279032bca
14160b13860
15c5929c7e
hex7e04a84c

2114234444 has 96 divisors (see below), whose sum is σ = 4679700480. Its totient is φ = 814851072.

The previous prime is 2114234431. The next prime is 2114234453. The reversal of 2114234444 is 4444324112.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 1421069 + ... + 1422555.

It is an arithmetic number, because the mean of its divisors is an integer number (48746880).

Almost surely, 22114234444 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 2114234444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339850240).

2114234444 is an abundant number, since it is smaller than the sum of its proper divisors (2565466036).

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

2114234444 is a wasteful number, since it uses less digits than its factorization.

2114234444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1645 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 2114234444 is about 45980.8051691138. The cubic root of 2114234444 is about 1283.4660381726.

Adding to 2114234444 its reverse (4444324112), we get a palindrome (6558558556).

The spelling of 2114234444 in words is "two billion, one hundred fourteen million, two hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 103 116 119 203 206 238 406 412 476 493 721 812 986 1442 1487 1751 1972 2884 2974 2987 3451 3502 5948 5974 6902 7004 10409 11948 12257 13804 20818 20909 24514 25279 41636 41818 43123 49028 50558 50779 83636 86246 101116 101558 153161 172492 176953 203116 301861 306322 353906 355453 603722 612644 707812 710906 733091 1072127 1207444 1421812 1466182 2144254 2603737 2932364 4288508 4441669 5131637 5207474 8883338 10263274 10414948 17766676 18226159 20526548 31091683 36452318 62183366 72904636 75508373 124366732 151016746 302033492 528558611 1057117222 2114234444