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212407000 = 23531316339
BaseRepresentation
bin11001010100100…
…01001011011000
3112210200101121221
430222101023120
5413334011000
633024341424
75156300251
oct1452211330
9483611557
10212407000
11a9997583
125b174874
133500c620
14202d1b28
15139aa61a
hexca912d8

212407000 has 64 divisors (see below), whose sum is σ = 535298400. Its totient is φ = 78422400.

The previous prime is 212406989. The next prime is 212407033. The reversal of 212407000 is 704212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4831 + ... + 21169.

Almost surely, 2212407000 is an apocalyptic number.

212407000 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 212407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267649200).

212407000 is an abundant number, since it is smaller than the sum of its proper divisors (322891400).

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

212407000 is a wasteful number, since it uses less digits than its factorization.

212407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16373 (or 16359 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 212407000 is about 14574.1895143435. The cubic root of 212407000 is about 596.6545291928.

The spelling of 212407000 in words is "two hundred twelve million, four hundred seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 16339 32678 65356 81695 130712 163390 212407 326780 408475 424814 653560 816950 849628 1062035 1633900 1699256 2042375 2124070 3267800 4084750 4248140 5310175 8169500 8496280 10620350 16339000 21240700 26550875 42481400 53101750 106203500 212407000