Search a number
-
+
112255444400 = 24521150512
BaseRepresentation
bin110100010001011110…
…0100010010110110000
3101201202021102102102212
41220202330202112300
53314344343210100
6123322555431252
711052536351051
oct1504274422660
9351667372385
10112255444400
11436752a9950
121990a155528
13a77c871aa8
14560c974728
152dc0117635
hex1a22f225b0

112255444400 has 90 divisors (see below), whose sum is σ = 294269574396. Its totient is φ = 40812080000.

The previous prime is 112255444393. The next prime is 112255444451. The reversal of 112255444400 is 4444552211.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22221875 + ... + 22226925.

Almost surely, 2112255444400 is an apocalyptic number.

112255444400 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 112255444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147134787198).

112255444400 is an abundant number, since it is smaller than the sum of its proper divisors (182014129996).

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

112255444400 is an frugal number, since it uses more digits than its factorization.

112255444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10131 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 112255444400 its reverse (4444552211), we get a palindrome (116699996611).

It can be divided in two parts, 112255 and 444400, that added together give a palindrome (556655).

The spelling of 112255444400 in words is "one hundred twelve billion, two hundred fifty-five million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 5051 10102 20204 25255 40408 50510 55561 80816 101020 111122 126275 202040 222244 252550 277805 404080 444488 505100 555610 888976 1010200 1111220 1389025 2020400 2222440 2778050 4444880 5556100 11112200 22224400 25512601 51025202 102050404 127563005 204100808 255126010 280638611 408201616 510252020 561277222 637815025 1020504040 1122554444 1275630050 1403193055 2041008080 2245108888 2551260100 2806386110 4490217776 5102520200 5612772220 7015965275 10205040400 11225544440 14031930550 22451088880 28063861100 56127722200 112255444400