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2226460224 = 26311596147
BaseRepresentation
bin1000010010110101…
…0001011001000000
312202011110220020210
42010231101121000
514024433211344
61004532434120
7106113412452
oct20455213100
95664426223
102226460224
11a4286257a
12521778940
132963673b1
141719a82d2
15d06e6db9
hex84b51640

2226460224 has 28 divisors (see below), whose sum is σ = 5890843184. Its totient is φ = 742153344.

The previous prime is 2226460217. The next prime is 2226460277. The reversal of 2226460224 is 4220646222.

It is a junction number, because it is equal to n+sod(n) for n = 2226460191 and 2226460200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5797882 + ... + 5798265.

Almost surely, 22226460224 is an apocalyptic number.

2226460224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2226460224 is an abundant number, since it is smaller than the sum of its proper divisors (3664382960).

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

2226460224 is a wasteful number, since it uses less digits than its factorization.

2226460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11596162 (or 11596152 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2226460224 is about 47185.3814650258. The cubic root of 2226460224 is about 1305.7849143968.

The spelling of 2226460224 in words is "two billion, two hundred twenty-six million, four hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 11596147 23192294 34788441 46384588 69576882 92769176 139153764 185538352 278307528 371076704 556615056 742153408 1113230112 2226460224