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228294261 = 33133120981
BaseRepresentation
bin11011001101101…
…11111001110101
3120220120112212000
431212313321311
5431420404021
634353045513
75441316636
oct1546677165
9526515760
10228294261
11107958948
1264556899
13383b2a80
142246988d
1515097b26
hexd9b7e75

228294261 has 32 divisors (see below), whose sum is σ = 375997440. Its totient is φ = 135950400.

The previous prime is 228294229. The next prime is 228294263. The reversal of 228294261 is 162492822.

228294261 = 1013 + 1023 + ... + 1783.

228294261 is a `hidden beast` number, since 228 + 2 + 9 + 426 + 1 = 666.

It is not a de Polignac number, because 228294261 - 25 = 228294229 is a prime.

It is a super-2 number, since 2×2282942612 = 104236539211072242, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228294263) 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 31 ways as a sum of consecutive naturals, for example, 391 + ... + 21371.

It is an arithmetic number, because the mean of its divisors is an integer number (11749920).

Almost surely, 2228294261 is an apocalyptic number.

It is an amenable number.

228294261 is a deficient number, since it is larger than the sum of its proper divisors (147703179).

228294261 is a wasteful number, since it uses less digits than its factorization.

228294261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21034 (or 21028 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 228294261 is about 15109.4096840346. The cubic root of 228294261 is about 611.1741793116.

The spelling of 228294261 in words is "two hundred twenty-eight million, two hundred ninety-four thousand, two hundred sixty-one".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 10881 20981 62943 188829 272753 566487 650411 818259 1951233 2454777 5853699 7364331 8455343 17561097 25366029 76098087 228294261