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412022220214 = 211294315018671
BaseRepresentation
bin1011111111011100111…
…00000010010110110110
31110101111112111102202011
411333232130002112312
523222310142021324
6513140322034434
741524203041503
oct5775634022666
91411445442664
10412022220214
11149812890390
1267a294a8a1a
132cb13282a07
1415d28b264aa
15aab70a7c94
hex5fee7025b6

412022220214 has 32 divisors (see below), whose sum is σ = 713687293440. Its totient is φ = 176619559200.

The previous prime is 412022220193. The next prime is 412022220217.

412022220214 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412022220217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7481902 + ... + 7536769.

It is an arithmetic number, because the mean of its divisors is an integer number (22302727920).

Almost surely, 2412022220214 is an apocalyptic number.

412022220214 is a deficient number, since it is larger than the sum of its proper divisors (301665073226).

412022220214 is a wasteful number, since it uses less digits than its factorization.

412022220214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15018756.

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 412022 and 220214, that added together give a palindrome (632236).

The spelling of 412022220214 in words is "four hundred twelve billion, twenty-two million, two hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 11 22 29 43 58 86 319 473 638 946 1247 2494 13717 27434 15018671 30037342 165205381 330410762 435541459 645802853 871082918 1291605706 4790956049 7103831383 9581912098 14207662766 18728282737 37456565474 206011110107 412022220214