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208425216 = 2831012687
BaseRepresentation
bin11000110110001…
…01000100000000
3112112012002122110
430123011010000
5411324101331
632403135320
75110404456
oct1433050400
9475162573
10208425216
11a7717a4a
1259974540
133424713c
141d9769d6
1513470946
hexc6c5100

208425216 has 72 divisors (see below), whose sum is σ = 560415744. Its totient is φ = 68761600.

The previous prime is 208425209. The next prime is 208425221. The reversal of 208425216 is 612524802.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76225 + ... + 78911.

It is an arithmetic number, because the mean of its divisors is an integer number (7783552).

Almost surely, 2208425216 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 208425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280207872).

208425216 is an abundant number, since it is smaller than the sum of its proper divisors (351990528).

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

208425216 is a wasteful number, since it uses less digits than its factorization.

208425216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 208425216 is about 14436.9392878131. The cubic root of 208425216 is about 592.9026890970.

The spelling of 208425216 in words is "two hundred eight million, four hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 1212 1616 2424 2687 3232 4848 5374 6464 8061 9696 10748 12928 16122 19392 21496 25856 32244 38784 42992 64488 77568 85984 128976 171968 257952 271387 343936 515904 542774 687872 814161 1031808 1085548 1628322 2063616 2171096 3256644 4342192 6513288 8684384 13026576 17368768 26053152 34737536 52106304 69475072 104212608 208425216