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228380302341 = 3231397808217
BaseRepresentation
bin1101010010110010000…
…1101101110000000101
3210211111012211102101100
43110230201231300011
512220210324133331
6252525542250313
722333322353152
oct3245441556005
9724435742340
10228380302341
11889457aa424
1238318126999
13186c7c72899
14b0a7389229
155e19cacae6
hex352c86dc05

228380302341 has 12 divisors (see below), whose sum is σ = 329893573932. Its totient is φ = 152248497216.

The previous prime is 228380302321. The next prime is 228380302393. The reversal of 228380302341 is 143203083822.

228380302341 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 8 + 0 + 302 + 341 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187774022241 + 40606280100 = 433329^2 + 201510^2 .

It is not a de Polignac number, because 228380302341 - 26 = 228380302277 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 228380302296 and 228380302305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228380302321) 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 11 ways as a sum of consecutive naturals, for example, 121536 + ... + 686681.

It is an arithmetic number, because the mean of its divisors is an integer number (27491131161).

Almost surely, 2228380302341 is an apocalyptic number.

It is an amenable number.

228380302341 is a deficient number, since it is larger than the sum of its proper divisors (101513271591).

228380302341 is a wasteful number, since it uses less digits than its factorization.

228380302341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839620 (or 839617 counting only the distinct ones).

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

The spelling of 228380302341 in words is "two hundred twenty-eight billion, three hundred eighty million, three hundred two thousand, three hundred forty-one".

Divisors: 1 3 9 31397 94191 282573 808217 2424651 7273953 25375589149 76126767447 228380302341