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112095225 = 33521131487
BaseRepresentation
bin1101010111001…
…10111111111001
321210221000202000
412223212333321
5212144021400
615042331213
72530536144
oct653467771
9253830660
10112095225
1158302890
1231659b09
131a2b9c48
1410c5d05b
159c93600
hex6ae6ff9

112095225 has 96 divisors (see below), whose sum is σ = 232366080. Its totient is φ = 52488000.

The previous prime is 112095199. The next prime is 112095239. The reversal of 112095225 is 522590211.

It is not a de Polignac number, because 112095225 - 218 = 111833081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229932 + ... + 230418.

It is an arithmetic number, because the mean of its divisors is an integer number (2420480).

Almost surely, 2112095225 is an apocalyptic number.

112095225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112095225 is an abundant number, since it is smaller than the sum of its proper divisors (120270855).

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

112095225 is a wasteful number, since it uses less digits than its factorization.

112095225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 112095225 is about 10587.5032467527. The cubic root of 112095225 is about 482.1650247303.

The spelling of 112095225 in words is "one hundred twelve million, ninety-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 31 33 45 55 75 93 99 135 155 165 225 275 279 297 341 465 487 495 675 775 825 837 1023 1395 1461 1485 1705 2325 2435 2475 3069 4185 4383 5115 5357 6975 7305 7425 8525 9207 12175 13149 15097 15345 16071 20925 21915 25575 26785 36525 45291 46035 48213 65745 75485 76725 80355 109575 133925 135873 144639 166067 226455 230175 241065 328725 377425 401775 407619 498201 679365 723195 830335 1132275 1205325 1494603 2038095 2491005 3396825 3615975 4151675 4483809 7473015 10190475 12455025 22419045 37365075 112095225