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228208527 = 32172117069
BaseRepresentation
bin11011001101000…
…10111110001111
3120220102012020200
431212202332033
5431410133102
634351144543
75440511661
oct1546427617
9526365220
10228208527
111078aa498
1264515153
1338382a41
1422446531
151507c51c
hexd9a2f8f

228208527 has 24 divisors (see below), whose sum is σ = 350728560. Its totient is φ = 142490880.

The previous prime is 228208517. The next prime is 228208559. The reversal of 228208527 is 725802822.

It is not a de Polignac number, because 228208527 - 27 = 228208399 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 228208491 and 228208500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228208517) 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, 28749 + ... + 35817.

It is an arithmetic number, because the mean of its divisors is an integer number (14613690).

Almost surely, 2228208527 is an apocalyptic number.

228208527 is a deficient number, since it is larger than the sum of its proper divisors (122520033).

228208527 is a wasteful number, since it uses less digits than its factorization.

228208527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7303 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 228208527 is about 15106.5723114147. The cubic root of 228208527 is about 611.0976626156.

The spelling of 228208527 in words is "two hundred twenty-eight million, two hundred eight thousand, five hundred twenty-seven".

Divisors: 1 3 9 17 51 153 211 633 1899 3587 7069 10761 21207 32283 63621 120173 360519 1081557 1491559 4474677 13424031 25356503 76069509 228208527