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228016129 = 11314147347
BaseRepresentation
bin11011001011101…
…00000000000001
3120220001102022211
431211310000001
5431333004004
634343102121
75436051025
oct1545640001
9526042284
10228016129
11107788990
1264441941
13383162b3
14223d6385
1515040504
hexd974001

228016129 has 32 divisors (see below), whose sum is σ = 269402112. Its totient is φ = 190992000.

The previous prime is 228016099. The next prime is 228016141. The reversal of 228016129 is 921610822.

It is a cyclic number.

It is not a de Polignac number, because 228016129 - 25 = 228016097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 228016129.

It is not an unprimeable number, because it can be changed into a prime (228011129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656934 + ... + 657280.

It is an arithmetic number, because the mean of its divisors is an integer number (8418816).

It is a Proth number, since it is equal to 13917 ⋅ 214 + 1 and 13917 < 214.

Almost surely, 2228016129 is an apocalyptic number.

It is an amenable number.

228016129 is a deficient number, since it is larger than the sum of its proper divisors (41385983).

228016129 is a wasteful number, since it uses less digits than its factorization.

228016129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 228016129 is about 15100.2029456561. The cubic root of 228016129 is about 610.9258796319.

The spelling of 228016129 in words is "two hundred twenty-eight million, sixteen thousand, one hundred twenty-nine".

Divisors: 1 11 31 41 47 341 347 451 517 1271 1457 1927 3817 10757 13981 14227 16027 16309 21197 59737 118327 156497 179399 441037 505579 657107 668669 4851407 5561369 7355359 20728739 228016129