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212085400 = 23521060427
BaseRepresentation
bin11001010010000…
…10101010011000
3112210002001110211
430221002222120
5413243213100
633013420504
75153460532
oct1451025230
9483061424
10212085400
11a979799a
125b03a734
1334c29127
142024a852
15139451ba
hexca42a98

212085400 has 24 divisors (see below), whose sum is σ = 493099020. Its totient is φ = 84834080.

The previous prime is 212085361. The next prime is 212085407. The reversal of 212085400 is 4580212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212085407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 530014 + ... + 530413.

Almost surely, 2212085400 is an apocalyptic number.

212085400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212085400 is an abundant number, since it is smaller than the sum of its proper divisors (281013620).

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

212085400 is a wasteful number, since it uses less digits than its factorization.

212085400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060443 (or 1060434 counting only the distinct ones).

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

The square root of 212085400 is about 14563.1521313210. The cubic root of 212085400 is about 596.3532506405.

The spelling of 212085400 in words is "two hundred twelve million, eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1060427 2120854 4241708 5302135 8483416 10604270 21208540 26510675 42417080 53021350 106042700 212085400