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208215000 = 2332547661
BaseRepresentation
bin11000110100100…
…01101111011000
3112111210102021200
430122101233120
5411300340000
632354434200
75105540550
oct1432215730
9474712250
10208215000
11a7594014
1259892960
13341a2556
141d920160
151342d500
hexc691bd8

208215000 has 240 divisors, whose sum is σ = 806554320. Its totient is φ = 47520000.

The previous prime is 208214999. The next prime is 208215017. The reversal of 208215000 is 512802.

208215000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 314670 + ... + 315330.

It is an arithmetic number, because the mean of its divisors is an integer number (3360643).

Almost surely, 2208215000 is an apocalyptic number.

208215000 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 208215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403277160).

208215000 is an abundant number, since it is smaller than the sum of its proper divisors (598339320).

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

208215000 is a wasteful number, since it uses less digits than its factorization.

208215000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 208215000 is about 14429.6569605795. The cubic root of 208215000 is about 592.7032897466.

Adding to 208215000 its reverse (512802), we get a palindrome (208727802).

The spelling of 208215000 in words is "two hundred eight million, two hundred fifteen thousand".