Search a number
-
+
112225344 = 2637117591
BaseRepresentation
bin1101011000001…
…10110001000000
321211011122020020
412230012301000
5212212202334
615045213440
72531620410
oct654066100
9254148206
10112225344
1158391620
1231701280
131a33423a
1410c94640
159cbbe49
hex6b06c40

112225344 has 112 divisors (see below), whose sum is σ = 370246656. Its totient is φ = 29145600.

The previous prime is 112225277. The next prime is 112225357. The reversal of 112225344 is 443522211.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10989 + ... + 18579.

Almost surely, 2112225344 is an apocalyptic number.

112225344 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 112225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185123328).

112225344 is an abundant number, since it is smaller than the sum of its proper divisors (258021312).

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

112225344 is a wasteful number, since it uses less digits than its factorization.

112225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7624 (or 7614 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 112225344 is about 10593.6463977235. The cubic root of 112225344 is about 482.3515166794.

Adding to 112225344 its reverse (443522211), we get a palindrome (555747555).

It can be divided in two parts, 112 and 225344, that added together give a triangular number (225456 = T671).

The spelling of 112225344 in words is "one hundred twelve million, two hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 7591 14784 15182 22773 30364 45546 53137 60728 83501 91092 106274 121456 159411 167002 182184 212548 242912 250503 318822 334004 364368 425096 485824 501006 584507 637644 668008 728736 850192 1002012 1169014 1275288 1336016 1457472 1700384 1753521 2004024 2338028 2550576 2672032 3400768 3507042 4008048 4676056 5101152 5344064 7014084 8016096 9352112 10202304 14028168 16032192 18704224 28056336 37408448 56112672 112225344