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18228384 = 2532167379
BaseRepresentation
bin100010110001…
…0010010100000
31021022002122100
41011202102200
514131302014
61450410400
7310636656
oct105422240
937262570
1018228384
11a320289
126130a00
133a12c35
1425c6dd6
151901009
hex11624a0

18228384 has 72 divisors (see below), whose sum is σ = 52284960. Its totient is φ = 6023808.

The previous prime is 18228367. The next prime is 18228389. The reversal of 18228384 is 48382281.

18228384 = T149 + T150 + ... + T482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (18228389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47907 + ... + 48285.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 218228384 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 18228384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142480).

18228384 is an abundant number, since it is smaller than the sum of its proper divisors (34056576).

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

18228384 is a wasteful number, since it uses less digits than its factorization.

18228384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 18228384 is about 4269.4711616311. The cubic root of 18228384 is about 263.1778832929.

The spelling of 18228384 in words is "eighteen million, two hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 379 501 668 758 1002 1137 1336 1503 1516 2004 2274 2672 3006 3032 3411 4008 4548 5344 6012 6064 6822 8016 9096 12024 12128 13644 16032 18192 24048 27288 36384 48096 54576 63293 109152 126586 189879 253172 379758 506344 569637 759516 1012688 1139274 1519032 2025376 2278548 3038064 4557096 6076128 9114192 18228384