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208470016 = 2163181
BaseRepresentation
bin11000110110100…
…00000000000000
3112112021101002201
430123100000000
5411332020031
632404122544
75110652206
oct1433200000
9475241081
10208470016
11a7748677
1259996454
1334261651
141d989076
151347dd61
hexc6d0000

208470016 has 34 divisors (see below), whose sum is σ = 417067922. Its totient is φ = 104202240.

The previous prime is 208470013. The next prime is 208470029. The reversal of 208470016 is 610074802.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 75759616 = 11520^2 + 8704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208470011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63946 + ... + 67126.

Almost surely, 2208470016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208533961).

208470016 is an abundant number, since it is smaller than the sum of its proper divisors (208597906).

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

208470016 is an frugal number, since it uses more digits than its factorization.

208470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 208470016 is about 14438.4907798565. The cubic root of 208470016 is about 592.9451665830.

The spelling of 208470016 in words is "two hundred eight million, four hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3181 4096 6362 8192 12724 16384 25448 32768 50896 65536 101792 203584 407168 814336 1628672 3257344 6514688 13029376 26058752 52117504 104235008 208470016