Search a number
-
+
112234440 = 23351078741
BaseRepresentation
bin1101011000010…
…00111111001000
321211012002201010
412230020333020
5212213000230
615045323520
72531656053
oct654107710
9254162633
10112234440
115839843a
12317065a0
131a338416
1410c97a9a
159cbe9b0
hex6b08fc8

112234440 has 64 divisors (see below), whose sum is σ = 339888960. Its totient is φ = 29646080.

The previous prime is 112234427. The next prime is 112234453. The reversal of 112234440 is 44432211.

It is an interprime number because it is at equal distance from previous prime (112234427) and next prime (112234453).

It is a super-2 number, since 2×1122344402 = 25193139044227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8470 + ... + 17210.

It is an arithmetic number, because the mean of its divisors is an integer number (5310765).

Almost surely, 2112234440 is an apocalyptic number.

112234440 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 112234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169944480).

112234440 is an abundant number, since it is smaller than the sum of its proper divisors (227654520).

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

112234440 is a wasteful number, since it uses less digits than its factorization.

112234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 112234440 is about 10594.0757029578. The cubic root of 112234440 is about 482.3645480521.

Adding to 112234440 its reverse (44432211), we get a palindrome (156666651).

The spelling of 112234440 in words is "one hundred twelve million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 8741 12840 17482 26223 34964 43705 52446 69928 87410 104892 131115 174820 209784 262230 349640 524460 935287 1048920 1870574 2805861 3741148 4676435 5611722 7482296 9352870 11223444 14029305 18705740 22446888 28058610 37411480 56117220 112234440