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228506301 = 32313792161
BaseRepresentation
bin11011001111010…
…11101010111101
3120220222022201100
431213223222331
5431444200201
634401403313
75443162062
oct1547535275
9526868640
10228506301
11107a93191
1264639539
133845843a
14224c2c69
15150da886
hexd9ebabd

228506301 has 24 divisors (see below), whose sum is σ = 341768960. Its totient is φ = 146966400.

The previous prime is 228506297. The next prime is 228506303. The reversal of 228506301 is 103605822.

228506301 is a `hidden beast` number, since 2 + 28 + 5 + 0 + 630 + 1 = 666.

It is not a de Polignac number, because 228506301 - 22 = 228506297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228506303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104661 + ... + 106821.

Almost surely, 2228506301 is an apocalyptic number.

It is an amenable number.

228506301 is a deficient number, since it is larger than the sum of its proper divisors (113262659).

228506301 is a wasteful number, since it uses less digits than its factorization.

228506301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 228506301 is about 15116.4248749498. The cubic root of 228506301 is about 611.3633405443.

The spelling of 228506301 in words is "two hundred twenty-eight million, five hundred six thousand, three hundred one".

Divisors: 1 3 9 31 93 279 379 1137 2161 3411 6483 11749 19449 35247 66991 105741 200973 602919 819019 2457057 7371171 25389589 76168767 228506301