Search a number
-
+
114140212220 = 2254326150599
BaseRepresentation
bin110101001001101001…
…0010110101111111100
3101220121121221112211102
41222103102112233330
53332224343242340
6124234004512232
711150333540006
oct1522322265774
9356547845742
10114140212220
11444521a0901
121a1553ab678
13a9c01a1418
14574add5376
152e80817215
hex1a93496bfc

114140212220 has 72 divisors (see below), whose sum is σ = 249426223200. Its totient is φ = 43862394240.

The previous prime is 114140212201. The next prime is 114140212253. The reversal of 114140212220 is 22212041411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114140212192 and 114140212201.

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, 2230481 + ... + 2281079.

It is an arithmetic number, because the mean of its divisors is an integer number (3464253100).

Almost surely, 2114140212220 is an apocalyptic number.

114140212220 is a gapful number since it is divisible by the number (10) 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 114140212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124713111600).

114140212220 is an abundant number, since it is smaller than the sum of its proper divisors (135286010980).

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

114140212220 is a wasteful number, since it uses less digits than its factorization.

114140212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50755 (or 50710 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 114140212220 its reverse (22212041411), we get a palindrome (136352253631).

The spelling of 114140212220 in words is "one hundred fourteen billion, one hundred forty million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 61 86 122 172 215 244 305 430 610 860 1220 1849 2623 3698 5246 7396 9245 10492 13115 18490 26230 36980 50599 52460 101198 112789 202396 225578 252995 451156 505990 563945 1011980 1127890 2175757 2255780 3086539 4351514 6173078 8703028 10878785 12346156 15432695 21757570 30865390 43515140 61730780 93557551 132721177 187115102 265442354 374230204 467787755 530884708 663605885 935575510 1327211770 1871151020 2654423540 5707010611 11414021222 22828042444 28535053055 57070106110 114140212220