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212412044420 = 22523334552337
BaseRepresentation
bin1100010111010010111…
…1101001010010000100
3202022021100201212112022
43011310233221102010
511440004440410140
6241325235142312
721226524405302
oct3056457512204
9668240655468
10212412044420
11820a1074954
1235200444998
1317051951564
14a3d071b272
1557d2e870b5
hex3174be9484

212412044420 has 24 divisors (see below), whose sum is σ = 446256589464. Its totient is φ = 84928380416.

The previous prime is 212412044347. The next prime is 212412044501. The reversal of 212412044420 is 24440214212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 990486784 + 211421557636 = 31472^2 + 459806^2 .

It is a super-2 number, since 2×2124120444202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212412044420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2229509 + ... + 2322828.

It is an arithmetic number, because the mean of its divisors is an integer number (18594024561).

Almost surely, 2212412044420 is an apocalyptic number.

212412044420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212412044420 is an abundant number, since it is smaller than the sum of its proper divisors (233844545044).

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

212412044420 is a wasteful number, since it uses less digits than its factorization.

212412044420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554679 (or 4554677 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 212412044420 its reverse (24440214212), we get a palindrome (236852258632).

The spelling of 212412044420 in words is "two hundred twelve billion, four hundred twelve million, forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2333 4666 9332 11665 23330 46660 4552337 9104674 18209348 22761685 45523370 91046740 10620602221 21241204442 42482408884 53103011105 106206022210 212412044420