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114224112 = 24321914153
BaseRepresentation
bin1101100111011…
…10101111110000
321221221012000200
412303232233300
5213220132422
615200115200
72554613622
oct663565760
9257835020
10114224112
11595272a2
1232305b00
131a883c42
1411254c12
15a0642ac
hex6ceebf0

114224112 has 60 divisors (see below), whose sum is σ = 321419904. Its totient is φ = 37866240.

The previous prime is 114224111. The next prime is 114224137. The reversal of 114224112 is 211422411.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114224111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25428 + ... + 29580.

Almost surely, 2114224112 is an apocalyptic number.

114224112 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 114224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160709952).

114224112 is an abundant number, since it is smaller than the sum of its proper divisors (207195792).

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

114224112 is a wasteful number, since it uses less digits than its factorization.

114224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4349 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 114224112 is about 10687.5681050462. The cubic root of 114224112 is about 485.1982921061.

Adding to 114224112 its reverse (211422411), we get a palindrome (325646523).

It can be divided in two parts, 11422411 and 2, that multiplied together give a palindrome (22844822).

The spelling of 114224112 in words is "one hundred fourteen million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1146 1528 1719 2292 3056 3438 4153 4584 6876 8306 9168 12459 13752 16612 24918 27504 33224 37377 49836 66448 74754 99672 149508 199344 299016 598032 793223 1586446 2379669 3172892 4759338 6345784 7139007 9518676 12691568 14278014 19037352 28556028 38074704 57112056 114224112