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20229216 = 253730103
BaseRepresentation
bin100110100101…
…0110001100000
31102001202021020
41031022301200
520134313331
62001325440
7333642210
oct115126140
942052236
1020229216
1110467567
126936880
134263867
142988240
151b98c96
hex134ac60

20229216 has 48 divisors (see below), whose sum is σ = 60689664. Its totient is φ = 5779584.

The previous prime is 20229197. The next prime is 20229217. The reversal of 20229216 is 61292202.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20229217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14380 + ... + 15723.

It is an arithmetic number, because the mean of its divisors is an integer number (1264368).

Almost surely, 220229216 is an apocalyptic number.

It is an amenable number.

20229216 is an abundant number, since it is smaller than the sum of its proper divisors (40460448).

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

20229216 is a wasteful number, since it uses less digits than its factorization.

20229216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30123 (or 30115 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20229216 is about 4497.6900738046. The cubic root of 20229216 is about 272.4748050661.

The spelling of 20229216 in words is "twenty million, two hundred twenty-nine thousand, two hundred sixteen".

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 30103 60206 90309 120412 180618 210721 240824 361236 421442 481648 632163 722472 842884 963296 1264326 1444944 1685768 2528652 2889888 3371536 5057304 6743072 10114608 20229216