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228429 = 32171493
BaseRepresentation
bin110111110001001101
3102121100100
4313301031
524302204
64521313
71640655
oct676115
9377310
10228429
11146693
12b0239
137cc86
145d365
1547a39
hex37c4d

228429 has 12 divisors (see below), whose sum is σ = 349596. Its totient is φ = 143232.

The previous prime is 228427. The next prime is 228443. The reversal of 228429 is 924822.

It can be written as a sum of positive squares in 2 ways, for example, as 189225 + 39204 = 435^2 + 198^2 .

It is not a de Polignac number, because 228429 - 21 = 228427 is a prime.

228429 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (29133).

2228429 is an apocalyptic number.

It is an amenable number.

228429 is a deficient number, since it is larger than the sum of its proper divisors (121167).

228429 is a wasteful number, since it uses less digits than its factorization.

228429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1513 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 228429 is about 477.9424651566. The cubic root of 228429 is about 61.1294393755.

The spelling of 228429 in words is "two hundred twenty-eight thousand, four hundred twenty-nine".

Divisors: 1 3 9 17 51 153 1493 4479 13437 25381 76143 228429