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112205430 = 232531131307
BaseRepresentation
bin1101011000000…
…01111001110110
321211010121220200
412230001321312
5212211033210
615044541330
72531505351
oct654017166
9254117820
10112205430
1158378667
12316b1846
131a32815c
1410c8b298
159cb60c0
hex6b01e76

112205430 has 96 divisors (see below), whose sum is σ = 304432128. Its totient is φ = 28641600.

The previous prime is 112205383. The next prime is 112205473. The reversal of 112205430 is 34502211.

112205430 is a `hidden beast` number, since 1 + 122 + 0 + 543 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365337 + ... + 365643.

It is an arithmetic number, because the mean of its divisors is an integer number (3171168).

Almost surely, 2112205430 is an apocalyptic number.

112205430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112205430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152216064).

112205430 is an abundant number, since it is smaller than the sum of its proper divisors (192226698).

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

112205430 is a wasteful number, since it uses less digits than its factorization.

112205430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112205430 is about 10592.7064530270. The cubic root of 112205430 is about 482.3229844543.

Adding to 112205430 its reverse (34502211), we get a palindrome (146707641).

The spelling of 112205430 in words is "one hundred twelve million, two hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 131 155 186 262 279 307 310 393 465 558 614 655 786 921 930 1179 1310 1395 1535 1842 1965 2358 2763 2790 3070 3930 4061 4605 5526 5895 8122 9210 9517 11790 12183 13815 19034 20305 24366 27630 28551 36549 40217 40610 47585 57102 60915 73098 80434 85653 95170 120651 121830 142755 171306 182745 201085 241302 285510 361953 365490 402170 428265 603255 723906 856530 1206510 1246727 1809765 2493454 3619530 3740181 6233635 7480362 11220543 12467270 18700905 22441086 37401810 56102715 112205430