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212442020 = 22575328631
BaseRepresentation
bin11001010100110…
…01101110100100
3112210202011122222
430222121232210
5413341121040
633025211512
75156504330
oct1452315644
9483664588
10212442020
11a9a1091a
125b190b98
133502254b
14203007c0
15139b5bb5
hexca99ba4

212442020 has 48 divisors (see below), whose sum is σ = 519499008. Its totient is φ = 71460480.

The previous prime is 212442001. The next prime is 212442029. The reversal of 212442020 is 20244212.

It is a happy number.

212442020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124420202 = 90263223723360800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212442020.

It is not an unprimeable number, because it can be changed into a prime (212442029) 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, 6896 + ... + 21735.

It is an arithmetic number, because the mean of its divisors is an integer number (10822896).

Almost surely, 2212442020 is an apocalyptic number.

212442020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212442020 is an abundant number, since it is smaller than the sum of its proper divisors (307056988).

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

212442020 is a wasteful number, since it uses less digits than its factorization.

212442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28700 (or 28698 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 212442020 is about 14575.3909038489. The cubic root of 212442020 is about 596.6873179637.

Adding to 212442020 its reverse (20244212), we get a palindrome (232686232).

It can be divided in two parts, 2124 and 42020, that added together give a palindrome (44144).

The spelling of 212442020 in words is "two hundred twelve million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 7420 28631 57262 114524 143155 200417 286310 400834 572620 801668 1002085 1517443 2004170 3034886 4008340 6069772 7587215 10622101 15174430 21244202 30348860 42488404 53110505 106221010 212442020