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112213536 = 2531517741
BaseRepresentation
bin1101011000000…
…11111000100000
321211011001000220
412230003320200
5212211313121
615045043040
72531541111
oct654037040
9254131026
10112213536
1158383766
12316b6480
131a32ba56
1410c90208
159cb86c6
hex6b03e20

112213536 has 48 divisors (see below), whose sum is σ = 296549568. Its totient is φ = 37152000.

The previous prime is 112213523. The next prime is 112213537. The reversal of 112213536 is 635312211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112213537) 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 7 ways as a sum of consecutive naturals, for example, 10626 + ... + 18366.

It is an arithmetic number, because the mean of its divisors is an integer number (6178116).

Almost surely, 2112213536 is an apocalyptic number.

112213536 is a gapful number since it is divisible by the number (16) 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 112213536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148274784).

112213536 is an abundant number, since it is smaller than the sum of its proper divisors (184336032).

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

112213536 is a wasteful number, since it uses less digits than its factorization.

112213536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905 (or 7897 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 112213536 is about 10593.0890678782. The cubic root of 112213536 is about 482.3345989129.

Adding to 112213536 its reverse (635312211), we get a palindrome (747525747).

The spelling of 112213536 in words is "one hundred twelve million, two hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 7248 7741 14496 15482 23223 30964 46446 61928 92892 123856 185784 247712 371568 743136 1168891 2337782 3506673 4675564 7013346 9351128 14026692 18702256 28053384 37404512 56106768 112213536