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210207008 = 251122332
BaseRepresentation
bin11001000011110…
…00000100100000
3112122112121210202
430201320010200
5412303111013
632505244332
75131505264
oct1441700440
9478477722
10210207008
11a8724700
125a4936a8
133471c15b
141dcbc0a4
15136c3858
hexc878120

210207008 has 54 divisors (see below), whose sum is σ = 456848217. Its totient is φ = 95138560.

The previous prime is 210206999. The next prime is 210207031. The reversal of 210207008 is 800702012.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 189667984 + 20539024 = 13772^2 + 4532^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10252.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 902060 + ... + 902292.

Almost surely, 2210207008 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 210207008

210207008 is an abundant number, since it is smaller than the sum of its proper divisors (246641209).

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

210207008 is an equidigital number, since it uses as much as digits as its factorization.

210207008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 210207008 is about 14498.5174414490. The cubic root of 210207008 is about 594.5874389769.

The spelling of 210207008 in words is "two hundred ten million, two hundred seven thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 233 242 352 466 484 932 968 1864 1936 2563 3728 3872 5126 7456 10252 20504 28193 41008 54289 56386 82016 108578 112772 217156 225544 434312 451088 597179 868624 902176 1194358 1737248 2388716 4777432 6568969 9554864 13137938 19109728 26275876 52551752 105103504 210207008