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212029000 = 2353212029
BaseRepresentation
bin11001010001101…
…00111001001000
3112202222012002221
430220310321020
5413234412000
633012303424
75153134231
oct1450647110
9482865087
10212029000
11a9759587
125b011b74
1334c09561
1420234088
151393361a
hexca34e48

212029000 has 32 divisors (see below), whose sum is σ = 496150200. Its totient is φ = 84811200.

The previous prime is 212028989. The next prime is 212029003. The reversal of 212029000 is 920212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23406244 + 188622756 = 4838^2 + 13734^2 .

It is not an unprimeable number, because it can be changed into a prime (212029003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105015 + ... + 107014.

Almost surely, 2212029000 is an apocalyptic number.

212029000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212029000 is an abundant number, since it is smaller than the sum of its proper divisors (284121200).

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

212029000 is a wasteful number, since it uses less digits than its factorization.

212029000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212050 (or 212036 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 212029000 is about 14561.2156085953. The cubic root of 212029000 is about 596.3003830924.

Adding to 212029000 its reverse (920212), we get a palindrome (212949212).

The spelling of 212029000 in words is "two hundred twelve million, twenty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 212029 424058 848116 1060145 1696232 2120290 4240580 5300725 8481160 10601450 21202900 26503625 42405800 53007250 106014500 212029000