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18872224 = 257173487
BaseRepresentation
bin100011111111…
…1011110100000
31022111210211021
41013333132200
514312402344
61512255224
7316261030
oct107773640
938453737
1018872224
11a71aa88
1263a1514
133ba9cc7
1427138c0
1519cbb84
hex11ff7a0

18872224 has 48 divisors (see below), whose sum is σ = 42795648. Its totient is φ = 8024832.

The previous prime is 18872221. The next prime is 18872251. The reversal of 18872224 is 42227881.

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 18872224.

It is not an unprimeable number, because it can be changed into a prime (18872221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38509 + ... + 38995.

It is an arithmetic number, because the mean of its divisors is an integer number (891576).

Almost surely, 218872224 is an apocalyptic number.

18872224 is a gapful number since it is divisible by the number (14) 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 18872224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21397824).

18872224 is an abundant number, since it is smaller than the sum of its proper divisors (23923424).

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

18872224 is a wasteful number, since it uses less digits than its factorization.

18872224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its digits is 14336, while the sum is 34.

The square root of 18872224 is about 4344.2173057986. The cubic root of 18872224 is about 266.2406475441.

The spelling of 18872224 in words is "eighteen million, eight hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 173 224 346 487 692 974 1211 1384 1948 2422 2768 3409 3896 4844 5536 6818 7792 9688 13636 15584 19376 27272 38752 54544 84251 109088 168502 337004 589757 674008 1179514 1348016 2359028 2696032 4718056 9436112 18872224