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228909396321 = 32892837100733
BaseRepresentation
bin1101010100110000010…
…0000011000101100001
3210212212002102011212200
43111030010003011201
512222301301140241
6253054242443413
722352405523204
oct3251404030541
9725762364780
10228909396321
1189097428581
1238445363569
1318780773448
14b11775593b
155e4b4714b6
hex354c103161

228909396321 has 24 divisors (see below), whose sum is σ = 334483217640. Its totient is φ = 150836902656.

The previous prime is 228909396299. The next prime is 228909396337. The reversal of 228909396321 is 123693909822.

228909396321 is a `hidden beast` number, since 2 + 289 + 0 + 9 + 39 + 6 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1274490000 + 227634906321 = 35700^2 + 477111^2 .

It is not a de Polignac number, because 228909396321 - 27 = 228909396193 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (228909398321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2222071 + ... + 2322803.

It is an arithmetic number, because the mean of its divisors is an integer number (13936800735).

Almost surely, 2228909396321 is an apocalyptic number.

It is an amenable number.

228909396321 is a deficient number, since it is larger than the sum of its proper divisors (105573821319).

228909396321 is a wasteful number, since it uses less digits than its factorization.

228909396321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103665 (or 103662 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 228909396321 in words is "two hundred twenty-eight billion, nine hundred nine million, three hundred ninety-six thousand, three hundred twenty-one".

Divisors: 1 3 9 89 267 801 2837 8511 25533 100733 252493 302199 757479 906597 2272437 8965237 26895711 80687133 285779521 857338563 2572015689 25434377369 76303132107 228909396321