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112233072 = 2437418147
BaseRepresentation
bin1101011000010…
…00101001110000
321211012000211110
412230020221300
5212212424242
615045313320
72531652060
oct654105160
9254160743
10112233072
1158397406
1231705840
131a337903
1410c973a0
159cbe39c
hex6b08a70

112233072 has 80 divisors (see below), whose sum is σ = 339478272. Its totient is φ = 31280640.

The previous prime is 112233059. The next prime is 112233073. The reversal of 112233072 is 270332211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112233073) 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 15 ways as a sum of consecutive naturals, for example, 9703 + ... + 17849.

Almost surely, 2112233072 is an apocalyptic number.

112233072 is a gapful number since it is divisible by the number (12) 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 112233072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169739136).

112233072 is an abundant number, since it is smaller than the sum of its proper divisors (227245200).

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

112233072 is a wasteful number, since it uses less digits than its factorization.

112233072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8206 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 112233072 is about 10594.0111383744. The cubic root of 112233072 is about 482.3625882336.

Adding to 112233072 its reverse (270332211), we get a palindrome (382565283).

The spelling of 112233072 in words is "one hundred twelve million, two hundred thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 8147 13776 16294 24441 32588 48882 57029 65176 97764 114058 130352 171087 195528 228116 334027 342174 391056 456232 668054 684348 912464 1002081 1336108 1368696 2004162 2338189 2672216 2737392 4008324 4676378 5344432 7014567 8016648 9352756 14029134 16033296 18705512 28058268 37411024 56116536 112233072