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4220334132 = 2237238918451
BaseRepresentation
bin1111101110001101…
…0011000000110100
3101220010022012001120
43323203103000310
532120401143012
61534440223540
7206404151100
oct37343230064
911803265046
104220334132
1118762a5553
1299946abb0
13523478241
142c070a900
1519a79958c
hexfb8d3034

4220334132 has 72 divisors (see below), whose sum is σ = 11485262880. Its totient is φ = 1202644800.

The previous prime is 4220334109. The next prime is 4220334143. The reversal of 4220334132 is 2314330224.

4220334132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42203341322 = 35622440371448386848, which 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 23 ways as a sum of consecutive naturals, for example, 219507 + ... + 237957.

It is an arithmetic number, because the mean of its divisors is an integer number (159517540).

Almost surely, 24220334132 is an apocalyptic number.

4220334132 is a gapful number since it is divisible by the number (42) 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 4220334132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742631440).

4220334132 is an abundant number, since it is smaller than the sum of its proper divisors (7264928748).

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

4220334132 is a wasteful number, since it uses less digits than its factorization.

4220334132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18861 (or 18852 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4220334132 is about 64964.0987931026. The cubic root of 4220334132 is about 1616.0282386702.

Adding to 4220334132 its reverse (2314330224), we get a palindrome (6534664356).

The spelling of 4220334132 in words is "four billion, two hundred twenty million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 389 588 778 1167 1556 2334 2723 4668 5446 8169 10892 16338 18451 19061 32676 36902 38122 55353 57183 73804 76244 110706 114366 129157 221412 228732 258314 387471 516628 774942 904099 1549884 1808198 2712297 3616396 5424594 7177439 10849188 14354878 21532317 28709756 43064634 50242073 86129268 100484146 150726219 200968292 301452438 351694511 602904876 703389022 1055083533 1406778044 2110167066 4220334132