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18052224 = 27353887
BaseRepresentation
bin100010011011…
…1010010000000
31020222010222220
41010313102000
514110132344
61442531040
7306304251
oct104672200
936863886
1018052224
11a20a9a3
126066a80
1339809b8
14257cb28
1518b8c19
hex1137480

18052224 has 64 divisors (see below), whose sum is σ = 48911040. Its totient is φ = 5897216.

The previous prime is 18052219. The next prime is 18052267. The reversal of 18052224 is 42225081.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 18052194 and 18052203.

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, 19909 + ... + 20795.

It is an arithmetic number, because the mean of its divisors is an integer number (764235).

Almost surely, 218052224 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 18052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455520).

18052224 is an abundant number, since it is smaller than the sum of its proper divisors (30858816).

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

18052224 is an equidigital number, since it uses as much as digits as its factorization.

18052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 18052224 is about 4248.7908868289. The cubic root of 18052224 is about 262.3273495084.

The spelling of 18052224 in words is "eighteen million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 887 1272 1696 1774 2544 2661 3392 3548 5088 5322 6784 7096 10176 10644 14192 20352 21288 28384 42576 47011 56768 85152 94022 113536 141033 170304 188044 282066 340608 376088 564132 752176 1128264 1504352 2256528 3008704 4513056 6017408 9026112 18052224