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212434500 = 22353141623
BaseRepresentation
bin11001010100101…
…11111001000100
3112210201210100110
430222113321010
5413340401000
633025113020
75156443365
oct1452277104
9483653313
10212434500
11a9a06203
125b188770
133501bcb5
14202dbb6c
15139b3850
hexca97e44

212434500 has 48 divisors (see below), whose sum is σ = 618613632. Its totient is φ = 56648800.

The previous prime is 212434471. The next prime is 212434531. The reversal of 212434500 is 5434212.

212434500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 69312 + ... + 72311.

It is an arithmetic number, because the mean of its divisors is an integer number (12887784).

Almost surely, 2212434500 is an apocalyptic number.

212434500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212434500 is an abundant number, since it is smaller than the sum of its proper divisors (406179132).

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

212434500 is a wasteful number, since it uses less digits than its factorization.

212434500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141645 (or 141633 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 212434500 is about 14575.1329324984. The cubic root of 212434500 is about 596.6802773893.

Adding to 212434500 its reverse (5434212), we get a palindrome (217868712).

The spelling of 212434500 in words is "two hundred twelve million, four hundred thirty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 141623 283246 424869 566492 708115 849738 1416230 1699476 2124345 2832460 3540575 4248690 7081150 8497380 10621725 14162300 17702875 21243450 35405750 42486900 53108625 70811500 106217250 212434500