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212140000 = 255410607
BaseRepresentation
bin11001010010011…
…11111111100000
3112210011211101001
430221033333200
5413301440000
633014521344
75154105652
oct1451177740
9483154331
10212140000
11a9824a16
125b066254
1334c47c37
14202626d2
151395646a
hexca4ffe0

212140000 has 60 divisors (see below), whose sum is σ = 521945424. Its totient is φ = 84848000.

The previous prime is 212139989. The next prime is 212140001. The reversal of 212140000 is 41212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212140001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14697 + ... + 25303.

Almost surely, 2212140000 is an apocalyptic number.

212140000 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 212140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260972712).

212140000 is an abundant number, since it is smaller than the sum of its proper divisors (309805424).

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

212140000 is an equidigital number, since it uses as much as digits as its factorization.

212140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637 (or 10614 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 212140000 is about 14565.0266048504. The cubic root of 212140000 is about 596.4044219983.

Adding to 212140000 its reverse (41212), we get a palindrome (212181212).

The spelling of 212140000 in words is "two hundred twelve million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 10607 20000 21214 42428 53035 84856 106070 169712 212140 265175 339424 424280 530350 848560 1060700 1325875 1697120 2121400 2651750 4242800 5303500 6629375 8485600 10607000 13258750 21214000 26517500 42428000 53035000 106070000 212140000