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112325220 = 223257239373
BaseRepresentation
bin1101011000111…
…11001001100100
321211100201020100
412230133021210
5212223401340
615051304100
72532514530
oct654371144
9254321210
10112325220
115844a667
123174b030
131a36a837
1410cbcbc0
159cdb830
hex6b1f264

112325220 has 144 divisors (see below), whose sum is σ = 392071680. Its totient is φ = 25498368.

The previous prime is 112325201. The next prime is 112325249. The reversal of 112325220 is 22523211.

112325220 is a `hidden beast` number, since 112 + 32 + 522 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112325193 and 112325202.

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, 300954 + ... + 301326.

It is an arithmetic number, because the mean of its divisors is an integer number (2722720).

Almost surely, 2112325220 is an apocalyptic number.

112325220 is a gapful number since it is divisible by the number (10) 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 112325220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196035840).

112325220 is an abundant number, since it is smaller than the sum of its proper divisors (279746460).

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

112325220 is a wasteful number, since it uses less digits than its factorization.

112325220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 629 counting only the distinct ones).

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

The square root of 112325220 is about 10598.3593069871. The cubic root of 112325220 is about 482.4945653410.

Adding to 112325220 its reverse (22523211), we get a palindrome (134848431).

The spelling of 112325220 in words is "one hundred twelve million, three hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 239 252 315 373 420 478 630 717 746 956 1119 1195 1260 1434 1492 1673 1865 2151 2238 2390 2611 2868 3346 3357 3585 3730 4302 4476 4780 5019 5222 5595 6692 6714 7170 7460 7833 8365 8604 10038 10444 10755 11190 13055 13428 14340 15057 15666 16730 16785 20076 21510 22380 23499 25095 26110 30114 31332 33460 33570 39165 43020 46998 50190 52220 60228 67140 75285 78330 89147 93996 100380 117495 150570 156660 178294 234990 267441 301140 356588 445735 469980 534882 624029 802323 891470 1069764 1248058 1337205 1604646 1782940 1872087 2496116 2674410 3120145 3209292 3744174 4011615 5348820 5616261 6240290 7488348 8023230 9360435 11232522 12480580 16046460 18720870 22465044 28081305 37441740 56162610 112325220