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224928540 = 223251249603
BaseRepresentation
bin11010110100000…
…10001100011100
3120200020112221200
431122002030130
5430040203130
634152555500
75400601224
oct1532021434
9520215850
10224928540
11105a6a161
12633b2b90
13377a4b15
1421c31084
1514b30760
hexd68231c

224928540 has 36 divisors (see below), whose sum is σ = 682283784. Its totient is φ = 59980896.

The previous prime is 224928527. The next prime is 224928577. The reversal of 224928540 is 45829422.

224928540 is a `hidden beast` number, since 2 + 24 + 92 + 8 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224928495 and 224928504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624622 + ... + 624981.

Almost surely, 2224928540 is an apocalyptic number.

224928540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224928540 is an abundant number, since it is smaller than the sum of its proper divisors (457355244).

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

224928540 is a wasteful number, since it uses less digits than its factorization.

224928540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249618 (or 1249613 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 224928540 is about 14997.6178108392. The cubic root of 224928540 is about 608.1558024942.

The spelling of 224928540 in words is "two hundred twenty-four million, nine hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1249603 2499206 3748809 4998412 6248015 7497618 11246427 12496030 14995236 18744045 22492854 24992060 37488090 44985708 56232135 74976180 112464270 224928540