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112234400 = 2552239587
BaseRepresentation
bin1101011000010…
…00111110100000
321211012002122122
412230020332200
5212213000100
615045323412
72531655665
oct654107640
9254162578
10112234400
1158398403
1231706568
131a3383b5
1410c97a6c
159cbe985
hex6b08fa0

112234400 has 72 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 44629760.

The previous prime is 112234351. The next prime is 112234403. The reversal of 112234400 is 4432211.

It is not an unprimeable number, because it can be changed into a prime (112234403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190907 + ... + 191493.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2112234400 is an apocalyptic number.

112234400 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 112234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

112234400 is an abundant number, since it is smaller than the sum of its proper divisors (163372960).

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

112234400 is a wasteful number, since it uses less digits than its factorization.

112234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 112234400 is about 10594.0738151100. The cubic root of 112234400 is about 482.3644907477.

Adding to 112234400 its reverse (4432211), we get a palindrome (116666611).

The spelling of 112234400 in words is "one hundred twelve million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 239 400 478 587 800 956 1174 1195 1912 2348 2390 2935 3824 4696 4780 5870 5975 7648 9392 9560 11740 11950 14675 18784 19120 23480 23900 29350 38240 46960 47800 58700 93920 95600 117400 140293 191200 234800 280586 469600 561172 701465 1122344 1402930 2244688 2805860 3507325 4489376 5611720 7014650 11223440 14029300 22446880 28058600 56117200 112234400