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212312020 = 22564116561
BaseRepresentation
bin11001010011110…
…01111111010100
3112210111120100011
430221321333110
5413322441040
633022330004
75155423324
oct1451717724
9483446304
10212312020
11a9932188
125b129904
1334ca831b
14202a9284
151398c3ea
hexca79fd4

212312020 has 24 divisors (see below), whose sum is σ = 446577768. Its totient is φ = 84787200.

The previous prime is 212312017. The next prime is 212312021. The reversal of 212312020 is 20213212.

It can be written as a sum of positive squares in 4 ways, for example, as 14853316 + 197458704 = 3854^2 + 14052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212312021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4540 + ... + 21100.

It is an arithmetic number, because the mean of its divisors is an integer number (18607407).

Almost surely, 2212312020 is an apocalyptic number.

212312020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212312020 is an abundant number, since it is smaller than the sum of its proper divisors (234265748).

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

212312020 is a wasteful number, since it uses less digits than its factorization.

212312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17211 (or 17209 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212312020 is about 14570.9306497560. The cubic root of 212312020 is about 596.5655825068.

Adding to 212312020 its reverse (20213212), we get a palindrome (232525232).

The spelling of 212312020 in words is "two hundred twelve million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 641 1282 2564 3205 6410 12820 16561 33122 66244 82805 165610 331220 10615601 21231202 42462404 53078005 106156010 212312020