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112230324 = 223237109773
BaseRepresentation
bin1101011000001…
…11111110110100
321211011220001200
412230013332310
5212212332244
615045252500
72531641053
oct654077664
9254156050
10112230324
1158395338
1231704130
131a33659b
1410c9639a
159cbd669
hex6b07fb4

112230324 has 72 divisors (see below), whose sum is σ = 294414120. Its totient is φ = 36018432.

The previous prime is 112230299. The next prime is 112230329. The reversal of 112230324 is 423032211.

112230324 is a `hidden beast` number, since 112 + 230 + 324 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21790224 + 90440100 = 4668^2 + 9510^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112230297 and 112230306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112230329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144802 + ... + 145574.

It is an arithmetic number, because the mean of its divisors is an integer number (4089085).

Almost surely, 2112230324 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 112230324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147207060).

112230324 is an abundant number, since it is smaller than the sum of its proper divisors (182183796).

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

112230324 is a wasteful number, since it uses less digits than its factorization.

112230324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 112230324 is about 10593.8814416624. The cubic root of 112230324 is about 482.3586513572.

Adding to 112230324 its reverse (423032211), we get a palindrome (535262535).

The spelling of 112230324 in words is "one hundred twelve million, two hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 109 111 148 218 222 327 333 436 444 654 666 773 981 1308 1332 1546 1962 2319 3092 3924 4033 4638 6957 8066 9276 12099 13914 16132 24198 27828 28601 36297 48396 57202 72594 84257 85803 114404 145188 168514 171606 252771 257409 337028 343212 505542 514818 758313 1011084 1029636 1516626 3033252 3117509 6235018 9352527 12470036 18705054 28057581 37410108 56115162 112230324