Search a number
-
+
112211352 = 23331183569
BaseRepresentation
bin1101011000000…
…11010110011000
321211010221001000
412230003112120
5212211230402
615045025000
72531531541
oct654032630
9254127030
10112211352
1158382060
12316b5160
131a32aa66
1410c8d4c8
159cb7c1c
hex6b03598

112211352 has 128 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 33534720.

The previous prime is 112211347. The next prime is 112211369. The reversal of 112211352 is 253112211.

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 31 ways as a sum of consecutive naturals, for example, 196924 + ... + 197492.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2112211352 is an apocalyptic number.

112211352 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 112211352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

112211352 is an abundant number, since it is smaller than the sum of its proper divisors (232524648).

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

112211352 is a wasteful number, since it uses less digits than its factorization.

112211352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 112211352 is about 10592.9859812991. The cubic root of 112211352 is about 482.3314696838.

Adding to 112211352 its reverse (253112211), we get a palindrome (365323563).

The spelling of 112211352 in words is "one hundred twelve million, two hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 83 88 99 108 132 166 198 216 249 264 297 332 396 498 569 594 664 747 792 913 996 1138 1188 1494 1707 1826 1992 2241 2276 2376 2739 2988 3414 3652 4482 4552 5121 5478 5976 6259 6828 7304 8217 8964 10242 10956 12518 13656 15363 16434 17928 18777 20484 21912 24651 25036 30726 32868 37554 40968 47227 49302 50072 56331 61452 65736 75108 94454 98604 112662 122904 141681 150216 168993 188908 197208 225324 283362 337986 377816 425043 450648 519497 566724 675972 850086 1038994 1133448 1275129 1351944 1558491 1700172 2077988 2550258 3116982 3400344 4155976 4675473 5100516 6233964 9350946 10201032 12467928 14026419 18701892 28052838 37403784 56105676 112211352