Search a number
-
+
112244000 = 2553112551
BaseRepresentation
bin1101011000010…
…11010100100000
321211012120211012
412230023110200
5212213302000
615045440052
72532025661
oct654132440
9254176735
10112244000
11583a4640
1231710028
131a33c88b
1410c9b368
159cc2735
hex6b0b520

112244000 has 96 divisors (see below), whose sum is σ = 300972672. Its totient is φ = 40800000.

The previous prime is 112243993. The next prime is 112244003. The reversal of 112244000 is 442211.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112244003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42725 + ... + 45275.

It is an arithmetic number, because the mean of its divisors is an integer number (3135132).

Almost surely, 2112244000 is an apocalyptic number.

112244000 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 112244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150486336).

112244000 is an abundant number, since it is smaller than the sum of its proper divisors (188728672).

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

112244000 is a wasteful number, since it uses less digits than its factorization.

112244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 112244000 is about 10594.5268889177. The cubic root of 112244000 is about 482.3782434150.

Adding to 112244000 its reverse (442211), we get a palindrome (112686211).

The spelling of 112244000 in words is "one hundred twelve million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2551 2750 4000 4400 5102 5500 8800 10204 11000 12755 20408 22000 25510 28061 40816 44000 51020 56122 63775 81632 102040 112244 127550 140305 204080 224488 255100 280610 318875 408160 448976 510200 561220 637750 701525 897952 1020400 1122440 1275500 1403050 2040800 2244880 2551000 2806100 3507625 4489760 5102000 5612200 7015250 10204000 11224400 14030500 22448800 28061000 56122000 112244000