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2212204212 = 22321011374441
BaseRepresentation
bin1000001111011011…
…1000111010110100
312201011122121200100
42003312320322310
514012311013322
61003303114100
7105551265651
oct20366707264
95634577610
102212204212
11a35805849
12518a42930
1329341559a
1416db36c28
15ce32cdac
hex83db8eb4

2212204212 has 72 divisors (see below), whose sum is σ = 5689828872. Its totient is φ = 724608000.

The previous prime is 2212204199. The next prime is 2212204217. The reversal of 2212204212 is 2124022122.

2212204212 is a `hidden beast` number, since 2 + 21 + 220 + 421 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 857669796 + 1354534416 = 29286^2 + 36804^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212204217) 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 23 ways as a sum of consecutive naturals, for example, 495912 + ... + 500352.

It is an arithmetic number, because the mean of its divisors is an integer number (79025401).

Almost surely, 22212204212 is an apocalyptic number.

It is an amenable number.

2212204212 is an abundant number, since it is smaller than the sum of its proper divisors (3477624660).

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

2212204212 is a wasteful number, since it uses less digits than its factorization.

2212204212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2212204212 is about 47034.0750095077. The cubic root of 2212204212 is about 1302.9919670485.

Adding to 2212204212 its reverse (2124022122), we get a palindrome (4336226334).

The spelling of 2212204212 in words is "two billion, two hundred twelve million, two hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 137 202 274 303 404 411 548 606 822 909 1212 1233 1644 1818 2466 3636 4441 4932 8882 13323 13837 17764 26646 27674 39969 41511 53292 55348 79938 83022 124533 159876 166044 249066 448541 498132 608417 897082 1216834 1345623 1794164 1825251 2433668 2691246 3650502 4036869 5382492 5475753 7301004 8073738 10951506 16147476 21903012 61450117 122900234 184350351 245800468 368700702 553051053 737401404 1106102106 2212204212