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18223272 = 2333239353
BaseRepresentation
bin100010110000…
…1000010101000
31021021211122000
41011201002220
514131121042
61450331000
7310616034
oct105410250
937254560
1018223272
11a317461
126129a60
133a10802
1425c51c4
1518ee74c
hex11610a8

18223272 has 64 divisors (see below), whose sum is σ = 50976000. Its totient is φ = 6031872.

The previous prime is 18223267. The next prime is 18223273. The reversal of 18223272 is 27232281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18223273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51448 + ... + 51800.

It is an arithmetic number, because the mean of its divisors is an integer number (796500).

Almost surely, 218223272 is an apocalyptic number.

18223272 is a gapful number since it is divisible by the number (12) 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 18223272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25488000).

18223272 is an abundant number, since it is smaller than the sum of its proper divisors (32752728).

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

18223272 is a wasteful number, since it uses less digits than its factorization.

18223272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 18223272 is about 4268.8724506595. The cubic root of 18223272 is about 263.1532789703.

Subtracting 18223272 from its reverse (27232281), we obtain a palindrome (9009009).

The spelling of 18223272 in words is "eighteen million, two hundred twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 239 353 478 706 717 956 1059 1412 1434 1912 2118 2151 2824 2868 3177 4236 4302 5736 6354 6453 8472 8604 9531 12708 12906 17208 19062 25416 25812 38124 51624 76248 84367 168734 253101 337468 506202 674936 759303 1012404 1518606 2024808 2277909 3037212 4555818 6074424 9111636 18223272