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224640396 = 22326240011
BaseRepresentation
bin11010110001110…
…11110110001100
3120122200220200200
431120323312030
5430001443041
634142453500
75365261161
oct1530736614
9518626620
10224640396
11105892722
1263294290
1337703916
1421b98068
1514ac51b6
hexd63bd8c

224640396 has 18 divisors (see below), whose sum is σ = 567841092. Its totient is φ = 74880120.

The previous prime is 224640349. The next prime is 224640421. The reversal of 224640396 is 693046422.

224640396 is a `hidden beast` number, since 2 + 2 + 4 + 640 + 3 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6240011 = 224640396 / (2 + 2 + 4 + 6 + 4 + 0 + 3 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 224640396.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3119970 + ... + 3120041.

Almost surely, 2224640396 is an apocalyptic number.

It is an amenable number.

224640396 is an abundant number, since it is smaller than the sum of its proper divisors (343200696).

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

224640396 is a wasteful number, since it uses less digits than its factorization.

224640396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6240021 (or 6240016 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 224640396 is about 14988.0084067230. The cubic root of 224640396 is about 607.8959994955.

The spelling of 224640396 in words is "two hundred twenty-four million, six hundred forty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 6240011 12480022 18720033 24960044 37440066 56160099 74880132 112320198 224640396