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229516164 = 22326375449
BaseRepresentation
bin11011010111000…
…10001110000100
3120222212121222200
431223202032010
5432224004124
634435154500
75454566223
oct1553421604
9528777880
10229516164
11108612989
1264a45a30
133871cca7
14226a6cba
1515239bc9
hexdae2384

229516164 has 18 divisors (see below), whose sum is σ = 580165950. Its totient is φ = 76505376.

The previous prime is 229516153. The next prime is 229516169. The reversal of 229516164 is 461615922.

It can be written as a sum of positive squares in only one way, i.e., 213452100 + 16064064 = 14610^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6375449 = 229516164 / (2 + 2 + 9 + 5 + 1 + 6 + 1 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (229516169) 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 5 ways as a sum of consecutive naturals, for example, 3187689 + ... + 3187760.

Almost surely, 2229516164 is an apocalyptic number.

It is an amenable number.

229516164 is an abundant number, since it is smaller than the sum of its proper divisors (350649786).

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

229516164 is a wasteful number, since it uses less digits than its factorization.

229516164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375459 (or 6375454 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 229516164 is about 15149.7908896460. The cubic root of 229516164 is about 612.2626387787.

It can be divided in two parts, 2295161 and 64, that added together give a square (2295225 = 15152).

The spelling of 229516164 in words is "two hundred twenty-nine million, five hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6375449 12750898 19126347 25501796 38252694 57379041 76505388 114758082 229516164