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212512433 = 72311311681
BaseRepresentation
bin11001010101010…
…10111010110001
3112210212202020212
430222222322301
5413400344213
633030513505
75160216530
oct1452527261
9483782225
10212512433
11a9a59811
125b205895
1335048603
142031c317
15139cb9a8
hexcaaaeb1

212512433 has 16 divisors (see below), whose sum is σ = 255695616. Its totient is φ = 172677120.

The previous prime is 212512429. The next prime is 212512439. The reversal of 212512433 is 334215212.

It is not a de Polignac number, because 212512433 - 22 = 212512429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212512399 and 212512408.

It is not an unprimeable number, because it can be changed into a prime (212512439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12353 + ... + 24033.

It is an arithmetic number, because the mean of its divisors is an integer number (15980976).

Almost surely, 2212512433 is an apocalyptic number.

212512433 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212512433 is a deficient number, since it is larger than the sum of its proper divisors (43183183).

212512433 is a wasteful number, since it uses less digits than its factorization.

212512433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11824.

The product of its digits is 1440, while the sum is 23.

The square root of 212512433 is about 14577.8061792576. The cubic root of 212512433 is about 596.7532338359.

Adding to 212512433 its reverse (334215212), we get a palindrome (546727645).

The spelling of 212512433 in words is "two hundred twelve million, five hundred twelve thousand, four hundred thirty-three".

Divisors: 1 7 23 113 161 791 2599 11681 18193 81767 268663 1319953 1880641 9239671 30358919 212512433