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30233112 = 233713109127
BaseRepresentation
bin111001101010…
…1001000011000
32002220000000220
41303111020120
530214424422
63000000040
7514656120
oct163251030
962800026
1030233112
111607a648
12a160020
136357120
14402dc80
1529c2e5c
hex1cd5218

30233112 has 128 divisors (see below), whose sum is σ = 94617600. Its totient is φ = 7838208.

The previous prime is 30233111. The next prime is 30233131. The reversal of 30233112 is 21133203.

It is a super-2 number, since 2×302331122 = 1828082122409088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30233091 and 30233100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30233111) 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 31 ways as a sum of consecutive naturals, for example, 237993 + ... + 238119.

It is an arithmetic number, because the mean of its divisors is an integer number (739200).

Almost surely, 230233112 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 30233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47308800).

30233112 is an abundant number, since it is smaller than the sum of its proper divisors (64384488).

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

30233112 is a wasteful number, since it uses less digits than its factorization.

30233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 30233112 is about 5498.4645129345. The cubic root of 30233112 is about 311.5259896195.

Adding to 30233112 its reverse (21133203), we get a palindrome (51366315).

Subtracting from 30233112 its reverse (21133203), we obtain a palindrome (9099909).

The spelling of 30233112 in words is "thirty million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 109 127 156 168 182 218 254 273 312 327 364 381 436 508 546 654 728 762 763 872 889 1016 1092 1308 1417 1524 1526 1651 1778 2184 2289 2616 2667 2834 3048 3052 3302 3556 4251 4578 4953 5334 5668 6104 6604 7112 8502 9156 9906 9919 10668 11336 11557 13208 13843 17004 18312 19812 19838 21336 23114 27686 29757 34008 34671 39624 39676 41529 46228 55372 59514 69342 79352 83058 92456 96901 110744 119028 138684 166116 179959 193802 238056 277368 290703 332232 359918 387604 539877 581406 719836 775208 1079754 1162812 1259713 1439672 2159508 2325624 2519426 3779139 4319016 5038852 7558278 10077704 15116556 30233112