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116229600 = 2533525381
BaseRepresentation
bin1101110110110…
…00010111100000
322002201002001000
412323120113200
5214223321400
615311112000
72610635544
oct673302740
9262632030
10116229600
115a677023
1232b12600
131b106a16
1411617a24
15a30d600
hex6ed85e0

116229600 has 144 divisors (see below), whose sum is σ = 420441840. Its totient is φ = 30988800.

The previous prime is 116229599. The next prime is 116229613. The reversal of 116229600 is 6922611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 18910 + ... + 24290.

It is an arithmetic number, because the mean of its divisors is an integer number (2919735).

Almost surely, 2116229600 is an apocalyptic number.

116229600 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 116229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210220920).

116229600 is an abundant number, since it is smaller than the sum of its proper divisors (304212240).

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

116229600 is a wasteful number, since it uses less digits than its factorization.

116229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 116229600 is about 10780.9832575698. The cubic root of 116229600 is about 488.0214538629.

The spelling of 116229600 in words is "one hundred sixteen million, two hundred twenty-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5381 5400 7200 10762 10800 16143 21524 21600 26905 32286 43048 48429 53810 64572 80715 86096 96858 107620 129144 134525 145287 161430 172192 193716 215240 242145 258288 269050 290574 322860 387432 403575 430480 484290 516576 538100 581148 645720 726435 774864 807150 860960 968580 1076200 1162296 1210725 1291440 1452870 1549728 1614300 1937160 2152400 2324592 2421450 2582880 2905740 3228600 3632175 3874320 4304800 4649184 4842900 5811480 6457200 7264350 7748640 9685800 11622960 12914400 14528700 19371600 23245920 29057400 38743200 58114800 116229600