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228146643 = 3271557641
BaseRepresentation
bin11011001100100…
…11110111010011
3120220022001100200
431212103313103
5431401143033
634345550243
75440133364
oct1546236723
9526261320
10228146643
11107867a4a
12644a5383
133836081a
142242bb6b
1515069013
hexd993dd3

228146643 has 24 divisors (see below), whose sum is σ = 335308896. Its totient is φ = 149452800.

The previous prime is 228146629. The next prime is 228146657. The reversal of 228146643 is 346641822.

228146643 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 4 + 6 + 643 = 666.

It is an interprime number because it is at equal distance from previous prime (228146629) and next prime (228146657).

It is not a de Polignac number, because 228146643 - 213 = 228138451 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 228146598 and 228146607.

It is not an unprimeable number, because it can be changed into a prime (228146663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355603 + ... + 356243.

It is an arithmetic number, because the mean of its divisors is an integer number (13971204).

Almost surely, 2228146643 is an apocalyptic number.

228146643 is a deficient number, since it is larger than the sum of its proper divisors (107162253).

228146643 is a wasteful number, since it uses less digits than its factorization.

228146643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1272 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 228146643 is about 15104.5239249703. The cubic root of 228146643 is about 611.0424198849.

The spelling of 228146643 in words is "two hundred twenty-eight million, one hundred forty-six thousand, six hundred forty-three".

Divisors: 1 3 9 71 213 557 639 641 1671 1923 5013 5769 39547 45511 118641 136533 355923 357037 409599 1071111 3213333 25349627 76048881 228146643