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112022064 = 243271110103
BaseRepresentation
bin1101010110101…
…01001000110000
321210210022101100
412223111020300
5212134201224
615041004400
72530112640
oct653251060
9253708340
10112022064
1158262920
1231623700
131a29285b
1410c40520
159c7bac9
hex6ad5230

112022064 has 120 divisors (see below), whose sum is σ = 390903552. Its totient is φ = 29093760.

The previous prime is 112022059. The next prime is 112022087. The reversal of 112022064 is 460220211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6037 + ... + 16139.

Almost surely, 2112022064 is an apocalyptic number.

112022064 is a gapful number since it is divisible by the number (14) 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 112022064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195451776).

112022064 is an abundant number, since it is smaller than the sum of its proper divisors (278881488).

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

112022064 is a wasteful number, since it uses less digits than its factorization.

112022064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10135 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112022064 is about 10584.0476189405. The cubic root of 112022064 is about 482.0601039584.

Adding to 112022064 its reverse (460220211), we get a palindrome (572242275).

The spelling of 112022064 in words is "one hundred twelve million, twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 10103 11088 20206 30309 40412 60618 70721 80824 90927 111133 121236 141442 161648 181854 212163 222266 242472 282884 333399 363708 424326 444532 484944 565768 636489 666798 727416 777931 848652 889064 1000197 1131536 1272978 1333596 1454832 1555862 1697304 1778128 2000394 2333793 2545956 2667192 3111724 3394608 4000788 4667586 5091912 5334384 6223448 7001379 8001576 9335172 10183824 12446896 14002758 16003152 18670344 28005516 37340688 56011032 112022064