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112831224 = 233112571663
BaseRepresentation
bin1101011100110…
…10101011111000
321212022102100020
412232122223320
5212341044344
615110210440
72540023002
oct656325370
9255272306
10112831224
1158765850
1231953a20
131a4b6c4c
1410db1372
159d8b719
hex6b9aaf8

112831224 has 64 divisors (see below), whose sum is σ = 309104640. Its totient is φ = 34037760.

The previous prime is 112831219. The next prime is 112831231. The reversal of 112831224 is 422138211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112831194 and 112831203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67017 + ... + 68679.

It is an arithmetic number, because the mean of its divisors is an integer number (4829760).

Almost surely, 2112831224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112831224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154552320).

112831224 is an abundant number, since it is smaller than the sum of its proper divisors (196273416).

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

112831224 is a wasteful number, since it uses less digits than its factorization.

112831224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1936 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 112831224 is about 10622.2042910123. The cubic root of 112831224 is about 483.2179958906.

Adding to 112831224 its reverse (422138211), we get a palindrome (534969435).

The spelling of 112831224 in words is "one hundred twelve million, eight hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 257 264 514 771 1028 1542 1663 2056 2827 3084 3326 4989 5654 6168 6652 8481 9978 11308 13304 16962 18293 19956 22616 33924 36586 39912 54879 67848 73172 109758 146344 219516 427391 439032 854782 1282173 1709564 2564346 3419128 4701301 5128692 9402602 10257384 14103903 18805204 28207806 37610408 56415612 112831224