Search a number
-
+
114130224 = 243213411487
BaseRepresentation
bin1101100110101…
…11110100110000
321221202102020100
412303113310300
5213204131344
615154112400
72554043115
oct663276460
9257672210
10114130224
11594727aa
123227b700
131a8502a0
141122c90c
15a046569
hex6cd7d30

114130224 has 120 divisors (see below), whose sum is σ = 352602432. Its totient is φ = 34237440.

The previous prime is 114130199. The next prime is 114130271. The reversal of 114130224 is 422031411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114130197 and 114130206.

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, 76009 + ... + 77495.

Almost surely, 2114130224 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 114130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176301216).

114130224 is an abundant number, since it is smaller than the sum of its proper divisors (238472208).

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

114130224 is a wasteful number, since it uses less digits than its factorization.

114130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114130224 is about 10683.1748090163. The cubic root of 114130224 is about 485.0653173092.

Adding to 114130224 its reverse (422031411), we get a palindrome (536161635).

The spelling of 114130224 in words is "one hundred fourteen million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 78 82 104 117 123 144 156 164 208 234 246 312 328 369 468 492 533 624 656 738 936 984 1066 1476 1487 1599 1872 1968 2132 2952 2974 3198 4264 4461 4797 5904 5948 6396 8528 8922 9594 11896 12792 13383 17844 19188 19331 23792 25584 26766 35688 38376 38662 53532 57993 60967 71376 76752 77324 107064 115986 121934 154648 173979 182901 214128 231972 243868 309296 347958 365802 463944 487736 548703 695916 731604 792571 927888 975472 1097406 1391832 1463208 1585142 2194812 2377713 2783664 2926416 3170284 4389624 4755426 6340568 7133139 8779248 9510852 12681136 14266278 19021704 28532556 38043408 57065112 114130224