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112143216 = 24323157647
BaseRepresentation
bin1101010111100…
…10101101110000
321211000110120110
412223302231300
5212202040331
615043341320
72531126103
oct653625560
9254013513
10112143216
1158335949
1231681840
131a305a43
1410c7273a
159ca2946
hex6af2b70

112143216 has 80 divisors (see below), whose sum is σ = 304694784. Its totient is φ = 35473152.

The previous prime is 112143197. The next prime is 112143217. The reversal of 112143216 is 612341211.

It is a super-2 number, since 2×1121432162 = 25152201789645312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112143192 and 112143201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112143217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173005 + ... + 173651.

Almost surely, 2112143216 is an apocalyptic number.

112143216 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 112143216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152347392).

112143216 is an abundant number, since it is smaller than the sum of its proper divisors (192551568).

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

112143216 is a wasteful number, since it uses less digits than its factorization.

112143216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 112143216 is about 10589.7694025885. The cubic root of 112143216 is about 482.2338242124.

Adding to 112143216 its reverse (612341211), we get a palindrome (724484427).

The spelling of 112143216 in words is "one hundred twelve million, one hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 157 184 276 314 368 471 552 628 647 942 1104 1256 1294 1884 1941 2512 2588 3611 3768 3882 5176 7222 7536 7764 10352 10833 14444 14881 15528 21666 28888 29762 31056 43332 44643 57776 59524 86664 89286 101579 119048 173328 178572 203158 238096 304737 357144 406316 609474 714288 812632 1218948 1625264 2336317 2437896 4672634 4875792 7008951 9345268 14017902 18690536 28035804 37381072 56071608 112143216