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227634334848 = 2732140572
BaseRepresentation
bin1101010000000000010…
…0000100110010000000
3210202120020011100100200
43110000010010302000
512212143342203343
6252323533445200
722305663630624
oct3240004046200
9722506140320
10227634334848
11885a2713a68
123814a340800
131860955a6bb
14b036287184
155dc455a4d3
hex3500104c80

227634334848 has 72 divisors (see below), whose sum is σ = 655088112705. Its totient is φ = 75872713728.

The previous prime is 227634334843. The next prime is 227634334849. The reversal of 227634334848 is 848433436722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

227634334848 is a `hidden beast` number, since 2 + 276 + 34 + 334 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153732999744 + 73901335104 = 392088^2 + 271848^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337368.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 227634334794 and 227634334803.

It is not an unprimeable number, because it can be changed into a prime (227634334841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16186636 + ... + 16200692.

Almost surely, 2227634334848 is an apocalyptic number.

It is an amenable number.

227634334848 is an abundant number, since it is smaller than the sum of its proper divisors (427453777857).

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

227634334848 is an frugal number, since it uses more digits than its factorization.

227634334848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28134 (or 14062 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 227634334848 in words is "two hundred twenty-seven billion, six hundred thirty-four million, three hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 14057 28114 42171 56228 84342 112456 126513 168684 224912 253026 337368 449824 506052 674736 899648 1012104 1349472 1799296 2024208 2698944 4048416 5397888 8096832 16193664 197599249 395198498 592797747 790396996 1185595494 1580793992 1778393241 2371190988 3161587984 3556786482 4742381976 6323175968 7113572964 9484763952 12646351936 14227145928 18969527904 25292703872 28454291856 37939055808 56908583712 75878111616 113817167424 227634334848