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2138228312 = 2311173534049
BaseRepresentation
bin111111101110010…
…1100011001011000
312112000110020211012
41333130230121120
513334341301222
6552101353052
7103662432533
oct17734543130
95460406735
102138228312
119a7a79640
124b8108788
13280cb416c
14163d9ba1a
15c7ab91e2
hex7f72c658

2138228312 has 64 divisors (see below), whose sum is σ = 4645188000. Its totient is φ = 911933440.

The previous prime is 2138228233. The next prime is 2138228333.

2138228312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526064 + ... + 530112.

Almost surely, 22138228312 is an apocalyptic number.

2138228312 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 2138228312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322594000).

2138228312 is an abundant number, since it is smaller than the sum of its proper divisors (2506959688).

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

2138228312 is a wasteful number, since it uses less digits than its factorization.

2138228312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436 (or 4432 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 2138228312 is about 46240.9808719495. The cubic root of 2138228312 is about 1288.3030211132.

It can be divided in two parts, 21382 and 28312, that added together give a palindrome (49694).

The spelling of 2138228312 in words is "two billion, one hundred thirty-eight million, two hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 353 374 706 748 1412 1496 2824 3883 4049 6001 7766 8098 12002 15532 16196 24004 31064 32392 44539 48008 66011 68833 89078 132022 137666 178156 264044 275332 356312 528088 550664 757163 1429297 1514326 2858594 3028652 5717188 6057304 11434376 15722267 24298049 31444534 48596098 62889068 97192196 125778136 194384392 267278539 534557078 1069114156 2138228312