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114334230224 = 24234215771279
BaseRepresentation
bin110101001111011011…
…0011110011011010000
3101221010011000200111102
41222132312132123100
53333124030331344
6124305135203532
711155210631114
oct1523666363320
9357104020442
10114334230224
1144541768465
121a1aa3765a8
13aa21442986
145768a9b744
152e9288de4e
hex1a9ed9e6d0

114334230224 has 80 divisors (see below), whose sum is σ = 232286085120. Its totient is φ = 54414581760.

The previous prime is 114334230193. The next prime is 114334230233. The reversal of 114334230224 is 422032433411.

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, 89392817 + ... + 89394095.

It is an arithmetic number, because the mean of its divisors is an integer number (2903576064).

Almost surely, 2114334230224 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 114334230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116143042560).

114334230224 is an abundant number, since it is smaller than the sum of its proper divisors (117951854896).

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

114334230224 is a wasteful number, since it uses less digits than its factorization.

114334230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 114334230224 its reverse (422032433411), we get a palindrome (536366663635).

The spelling of 114334230224 in words is "one hundred fourteen billion, three hundred thirty-four million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 421 577 842 1154 1279 1684 2308 2558 3368 4616 5116 6736 9232 9683 10232 13271 19366 20464 26542 29417 38732 53084 58834 77464 106168 117668 154928 212336 235336 242917 470672 485834 538459 737983 971668 1076918 1475966 1943336 2153836 2951932 3886672 4307672 5587091 5903864 8615344 11174182 11807728 12384557 16973609 22348364 24769114 33947218 44696728 49538228 67894436 89393456 99076456 135788872 198152912 271577744 310690843 621381686 1242763372 2485526744 4971053488 7145889389 14291778778 28583557556 57167115112 114334230224