Search a number
-
+
112265472 = 2831197137
BaseRepresentation
bin1101011000100…
…00100100000000
321211020200021110
412230100210000
5212214443342
615050123320
72532145404
oct654204400
9254220243
10112265472
1158409790
1231720540
131a349597
1410ca5104
159cc8c9c
hex6b10900

112265472 has 144 divisors (see below), whose sum is σ = 331716672. Its totient is φ = 33423360.

The previous prime is 112265449. The next prime is 112265479. The reversal of 112265472 is 274562211.

It is not an unprimeable number, because it can be changed into a prime (112265479) 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, 819388 + ... + 819524.

It is an arithmetic number, because the mean of its divisors is an integer number (2303588).

Almost surely, 2112265472 is an apocalyptic number.

112265472 is a gapful number since it is divisible by the number (12) 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 112265472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165858336).

112265472 is an abundant number, since it is smaller than the sum of its proper divisors (219451200).

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

112265472 is a wasteful number, since it uses less digits than its factorization.

112265472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 112265472 is about 10595.5401938740. The cubic root of 112265472 is about 482.4090007094.

The spelling of 112265472 in words is "one hundred twelve million, two hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 97 128 132 137 176 192 194 256 264 274 291 352 384 388 411 528 548 582 704 768 776 822 1056 1067 1096 1164 1408 1507 1552 1644 2112 2134 2192 2328 2816 3014 3104 3201 3288 4224 4268 4384 4521 4656 6028 6208 6402 6576 8448 8536 8768 9042 9312 12056 12416 12804 13152 13289 17072 17536 18084 18624 24112 24832 25608 26304 26578 34144 35072 36168 37248 39867 48224 51216 52608 53156 68288 72336 74496 79734 96448 102432 105216 106312 136576 144672 146179 159468 192896 204864 212624 273152 289344 292358 318936 385792 409728 425248 438537 578688 584716 637872 819456 850496 877074 1157376 1169432 1275744 1700992 1754148 2338864 2551488 3401984 3508296 4677728 5102976 7016592 9355456 10205952 14033184 18710912 28066368 37421824 56132736 112265472