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111442224 = 24337131479
BaseRepresentation
bin1101010010001…
…11100100110000
321202200211222210
412221013210300
5212012122344
615020332120
72522146305
oct651074460
9252624883
10111442224
11579a7213
12313a4040
131a11b95a
1410b2d0ac
159bb4db9
hex6a47930

111442224 has 80 divisors (see below), whose sum is σ = 298552320. Its totient is φ = 35792640.

The previous prime is 111442171. The next prime is 111442229. The reversal of 111442224 is 422244111.

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

It is a self number, because there is not a number n which added to its sum of digits gives 111442224.

It is not an unprimeable number, because it can be changed into a prime (111442229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232417 + ... + 232895.

It is an arithmetic number, because the mean of its divisors is an integer number (3731904).

Almost surely, 2111442224 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 111442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

111442224 is an abundant number, since it is smaller than the sum of its proper divisors (187110096).

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

111442224 is a wasteful number, since it uses less digits than its factorization.

111442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 111442224 is about 10556.6199135898. The cubic root of 111442224 is about 481.2269306083.

Adding to 111442224 its reverse (422244111), we get a palindrome (533686335).

The spelling of 111442224 in words is "one hundred eleven million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 131 148 222 262 296 393 444 479 524 592 786 888 958 1048 1437 1572 1776 1916 2096 2874 3144 3832 4847 5748 6288 7664 9694 11496 14541 17723 19388 22992 29082 35446 38776 53169 58164 62749 70892 77552 106338 116328 125498 141784 188247 212676 232656 250996 283568 376494 425352 501992 752988 850704 1003984 1505976 2321713 3011952 4643426 6965139 9286852 13930278 18573704 27860556 37147408 55721112 111442224