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111380224 = 28479257
BaseRepresentation
bin1101010001110…
…00011100000000
321202120200221111
412220320130000
5212003131344
615015133104
72521500454
oct650703400
9252520844
10111380224
115796467a
1231374194
131a0c9677
1410b14664
159ba1834
hex6a38700

111380224 has 36 divisors (see below), whose sum is σ = 227080224. Its totient is φ = 54499328.

The previous prime is 111380221. The next prime is 111380267. The reversal of 111380224 is 422083111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111380195 and 111380204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111380221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7404 + ... + 16660.

It is an arithmetic number, because the mean of its divisors is an integer number (6307784).

Almost surely, 2111380224 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 111380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113540112).

111380224 is an abundant number, since it is smaller than the sum of its proper divisors (115700000).

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

111380224 is an frugal number, since it uses more digits than its factorization.

111380224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 111380224 is about 10553.6829590433. The cubic root of 111380224 is about 481.1376717878.

The spelling of 111380224 in words is "one hundred eleven million, three hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 3008 6016 9257 12032 18514 37028 74056 148112 296224 435079 592448 870158 1184896 1740316 2369792 3480632 6961264 13922528 27845056 55690112 111380224