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212643632 = 2431538089
BaseRepresentation
bin11001010110010…
…10111100110000
3112211010102020002
430223022330300
5413414044012
633033405132
75161304165
oct1453127460
9484112202
10212643632
11aa039343
125b2697a8
1335093246
142035406c
1513a057c2
hexcacaf30

212643632 has 40 divisors (see below), whose sum is σ = 433365120. Its totient is φ = 100938240.

The previous prime is 212643619. The next prime is 212643637. The reversal of 212643632 is 236346212.

212643632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212643595 and 212643604.

It is not an unprimeable number, because it can be changed into a prime (212643637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22244 + ... + 30332.

It is an arithmetic number, because the mean of its divisors is an integer number (10834128).

Almost surely, 2212643632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212643632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216682560).

212643632 is an abundant number, since it is smaller than the sum of its proper divisors (220721488).

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

212643632 is a wasteful number, since it uses less digits than its factorization.

212643632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8175 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 212643632 is about 14582.3054418703. The cubic root of 212643632 is about 596.8760146068.

Adding to 212643632 its reverse (236346212), we get a palindrome (448989844).

The spelling of 212643632 in words is "two hundred twelve million, six hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 31 53 62 106 124 212 248 424 496 848 1643 3286 6572 8089 13144 16178 26288 32356 64712 129424 250759 428717 501518 857434 1003036 1714868 2006072 3429736 4012144 6859472 13290227 26580454 53160908 106321816 212643632