Search a number
-
+
114231220 = 2254323089
BaseRepresentation
bin1101100111100…
…00011110110100
321221221112202221
412303300132310
5213220344340
615200212124
72554643425
oct663603664
9257845687
10114231220
1159531674
123230a044
131a88724c
141125764c
15a06644a
hex6cf07b4

114231220 has 36 divisors (see below), whose sum is σ = 245673540. Its totient is φ = 44615424.

The previous prime is 114231217. The next prime is 114231239. The reversal of 114231220 is 22132411.

It can be written as a sum of positive squares in 2 ways, for example, as 76947984 + 37283236 = 8772^2 + 6106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114231194 and 114231203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35436 + ... + 38524.

It is an arithmetic number, because the mean of its divisors is an integer number (6824265).

Almost surely, 2114231220 is an apocalyptic number.

114231220 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 114231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122836770).

114231220 is an abundant number, since it is smaller than the sum of its proper divisors (131442320).

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

114231220 is a wasteful number, since it uses less digits than its factorization.

114231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114231220 is about 10687.9006357657. The cubic root of 114231220 is about 485.2083562915.

Adding to 114231220 its reverse (22132411), we get a palindrome (136363631).

The spelling of 114231220 in words is "one hundred fourteen million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1849 3089 3698 6178 7396 9245 12356 15445 18490 30890 36980 61780 132827 265654 531308 664135 1328270 2656540 5711561 11423122 22846244 28557805 57115610 114231220