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18412224 = 263175641
BaseRepresentation
bin100011000111…
…1001011000000
31021122102211020
41012033023000
514203142344
61454345440
7312333645
oct106171300
937572736
1018412224
11a436416
1261bb280
133a7880c
142633dcc
15193a719
hex118f2c0

18412224 has 56 divisors (see below), whose sum is σ = 51590448. Its totient is φ = 5775360.

The previous prime is 18412201. The next prime is 18412237. The reversal of 18412224 is 42221481.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 18412194 and 18412203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444 + ... + 6084.

It is an arithmetic number, because the mean of its divisors is an integer number (921258).

Almost surely, 218412224 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 18412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25795224).

18412224 is an abundant number, since it is smaller than the sum of its proper divisors (33178224).

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

18412224 is a wasteful number, since it uses less digits than its factorization.

18412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5673 (or 5663 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 18412224 is about 4290.9467486791. The cubic root of 18412224 is about 264.0596742972.

The spelling of 18412224 in words is "eighteen million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 5641 11282 16923 22564 33846 45128 67692 90256 95897 135384 180512 191794 270768 287691 361024 383588 541536 575382 767176 1083072 1150764 1534352 2301528 3068704 4603056 6137408 9206112 18412224