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208215220 = 22531418191
BaseRepresentation
bin11000110100100…
…01110010110100
3112111210102120211
430122101302310
5411300341340
632354435204
75105541313
oct1432216264
9474712524
10208215220
11a75941a4
1259892b04
13341a2695
141d92027a
151342d5ea
hexc691cb4

208215220 has 48 divisors (see below), whose sum is σ = 462422016. Its totient is φ = 78624000.

The previous prime is 208215197. The next prime is 208215223. The reversal of 208215220 is 22512802.

It is a junction number, because it is equal to n+sod(n) for n = 208215191 and 208215200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208215223) 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 15 ways as a sum of consecutive naturals, for example, 21325 + ... + 29515.

It is an arithmetic number, because the mean of its divisors is an integer number (9633792).

Almost surely, 2208215220 is an apocalyptic number.

208215220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208215220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231211008).

208215220 is an abundant number, since it is smaller than the sum of its proper divisors (254206796).

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

208215220 is a wasteful number, since it uses less digits than its factorization.

208215220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 208215220 is about 14429.6645837663. The cubic root of 208215220 is about 592.7034984967.

The spelling of 208215220 in words is "two hundred eight million, two hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 1271 2542 5084 6355 8191 12710 16382 25420 32764 40955 81910 163820 253921 335831 507842 671662 1015684 1269605 1343324 1679155 2539210 3358310 5078420 6716620 10410761 20821522 41643044 52053805 104107610 208215220