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116226792 = 23331124447
BaseRepresentation
bin1101110110101…
…11101011101000
322002200221012000
412323113223220
5214223224132
615311051000
72610624423
oct673275350
9262627160
10116226792
115a674a00
1232b10a60
131b105666
14116169ba
15a30c87c
hex6ed7ae8

116226792 has 96 divisors (see below), whose sum is σ = 354950400. Its totient is φ = 35212320.

The previous prime is 116226767. The next prime is 116226811. The reversal of 116226792 is 297622611.

It is a super-2 number, since 2×1162267922 = 27017334357222528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23913 + ... + 28359.

It is an arithmetic number, because the mean of its divisors is an integer number (3697400).

Almost surely, 2116226792 is an apocalyptic number.

116226792 is a gapful number since it is divisible by the number (12) 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 116226792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177475200).

116226792 is an abundant number, since it is smaller than the sum of its proper divisors (238723608).

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

116226792 is a wasteful number, since it uses less digits than its factorization.

116226792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4463 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 116226792 is about 10780.8530274742. The cubic root of 116226792 is about 488.0175237817.

The spelling of 116226792 in words is "one hundred sixteen million, two hundred twenty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 4447 6534 8712 8894 13068 13341 17788 26136 26682 35576 40023 48917 53364 80046 97834 106728 120069 146751 160092 195668 240138 293502 320184 391336 440253 480276 538087 587004 880506 960552 1076174 1174008 1320759 1614261 1761012 2152348 2641518 3228522 3522024 4304696 4842783 5283036 6457044 9685566 10566072 12914088 14528349 19371132 29056698 38742264 58113396 116226792