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18148224 = 273167283
BaseRepresentation
bin100010100111…
…0101110000000
31021011000200110
41011032232000
514121220344
61444551320
7310154163
oct105165600
937130613
1018148224
11a276036
1260b2540
1339b55c3
1425a5ada
1518d73b9
hex114eb80

18148224 has 64 divisors (see below), whose sum is σ = 48666240. Its totient is φ = 5991936.

The previous prime is 18148217. The next prime is 18148259. The reversal of 18148224 is 42284181.

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

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 = 18148191 and 18148200.

It is a congruent number.

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, 63987 + ... + 64269.

It is an arithmetic number, because the mean of its divisors is an integer number (760410).

Almost surely, 218148224 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 18148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24333120).

18148224 is an abundant number, since it is smaller than the sum of its proper divisors (30518016).

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

18148224 is a wasteful number, since it uses less digits than its factorization.

18148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 18148224 is about 4260.0732388071. The cubic root of 18148224 is about 262.7915382229.

The spelling of 18148224 in words is "eighteen million, one hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 283 334 384 501 566 668 849 1002 1132 1336 1698 2004 2264 2672 3396 4008 4528 5344 6792 8016 9056 10688 13584 16032 18112 21376 27168 32064 36224 47261 54336 64128 94522 108672 141783 189044 283566 378088 567132 756176 1134264 1512352 2268528 3024704 4537056 6049408 9074112 18148224