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112298274 = 232111972879
BaseRepresentation
bin1101011000110…
…00100100100010
321211022100021100
412230120210202
5212222021044
615050535230
72532343134
oct654304442
9254270240
10112298274
11584313a0
1231737516
131a35b4aa
1410cb3054
159cd3869
hex6b18922

112298274 has 48 divisors (see below), whose sum is σ = 266872320. Its totient is φ = 33845280.

The previous prime is 112298273. The next prime is 112298297. The reversal of 112298274 is 472892211.

It is a super-2 number, since 2×1122982742 = 25221804686758152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112298273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37567 + ... + 40445.

It is an arithmetic number, because the mean of its divisors is an integer number (5559840).

Almost surely, 2112298274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112298274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133436160).

112298274 is an abundant number, since it is smaller than the sum of its proper divisors (154574046).

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

112298274 is a wasteful number, since it uses less digits than its factorization.

112298274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3092 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 112298274 is about 10597.0879962375. The cubic root of 112298274 is about 482.4559799478.

It can be divided in two parts, 11229 and 8274, that added together give a triangular number (19503 = T197).

The spelling of 112298274 in words is "one hundred twelve million, two hundred ninety-eight thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 197 198 394 591 1182 1773 2167 2879 3546 4334 5758 6501 8637 13002 17274 19503 25911 31669 39006 51822 63338 95007 190014 285021 567163 570042 1134326 1701489 3402978 5104467 6238793 10208934 12477586 18716379 37432758 56149137 112298274