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229984608 = 2537342239
BaseRepresentation
bin11011011010101…
…00100101100000
3121000202102120110
431231110211200
5432334001413
634453211320
75461560030
oct1555244540
9530672513
10229984608
11108902927
1265030b40
1338855289
14227898c0
15152cd8c3
hexdb54960

229984608 has 48 divisors (see below), whose sum is σ = 689955840. Its totient is φ = 65709696.

The previous prime is 229984603. The next prime is 229984661. The reversal of 229984608 is 806489922.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229984603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170448 + ... + 171791.

It is an arithmetic number, because the mean of its divisors is an integer number (14374080).

Almost surely, 2229984608 is an apocalyptic number.

229984608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

229984608 is an abundant number, since it is smaller than the sum of its proper divisors (459971232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229984608 is a wasteful number, since it uses less digits than its factorization.

229984608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342259 (or 342251 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 229984608 is about 15165.2434204005. The cubic root of 229984608 is about 612.6788997339.

The spelling of 229984608 in words is "two hundred twenty-nine million, nine hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 342239 684478 1026717 1368956 2053434 2395673 2737912 4106868 4791346 5475824 7187019 8213736 9582692 10951648 14374038 16427472 19165384 28748076 32854944 38330768 57496152 76661536 114992304 229984608