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212408010 = 23252360089
BaseRepresentation
bin11001010100100…
…01011011001010
3112210200110000100
430222101123022
5413334024020
633024350230
75156303223
oct1452213312
9483613010
10212408010
11a9998311
125b175376
133500cc19
14202d224a
15139aaa90
hexca916ca

212408010 has 24 divisors (see below), whose sum is σ = 552261060. Its totient is φ = 56642112.

The previous prime is 212407999. The next prime is 212408017. The reversal of 212408010 is 10804212.

It can be written as a sum of positive squares in 2 ways, for example, as 198725409 + 13682601 = 14097^2 + 3699^2 .

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

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (212408017) 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 11 ways as a sum of consecutive naturals, for example, 1179955 + ... + 1180134.

Almost surely, 2212408010 is an apocalyptic number.

212408010 is an abundant number, since it is smaller than the sum of its proper divisors (339853050).

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

212408010 is a wasteful number, since it uses less digits than its factorization.

212408010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360102 (or 2360099 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 212408010 is about 14574.2241645996. The cubic root of 212408010 is about 596.6554748932.

The spelling of 212408010 in words is "two hundred twelve million, four hundred eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2360089 4720178 7080267 11800445 14160534 21240801 23600890 35401335 42481602 70802670 106204005 212408010