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214034302420 = 22520895122889
BaseRepresentation
bin1100011101010101110…
…0000100010111010100
3202110110102022010010221
43013111130010113110
512001320240134140
6242154225524124
721314653360411
oct3072534042724
9673412263127
10214034302420
1182853869344
12355937a3644
131724ca7b433
14a505d67108
15587a5d114a
hex31d57045d4

214034302420 has 24 divisors (see below), whose sum is σ = 449687284200. Its totient is φ = 85572721152.

The previous prime is 214034302403. The next prime is 214034302421. The reversal of 214034302420 is 24203430412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 72358848016 + 141675454404 = 268996^2 + 376398^2 .

It is a super-2 number, since 2×2140343024202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214034302421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2519665 + ... + 2603224.

It is an arithmetic number, because the mean of its divisors is an integer number (18736970175).

Almost surely, 2214034302420 is an apocalyptic number.

214034302420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214034302420 is an abundant number, since it is smaller than the sum of its proper divisors (235652981780).

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

214034302420 is a wasteful number, since it uses less digits than its factorization.

214034302420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124987 (or 5124985 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 214034302420 its reverse (24203430412), we get a palindrome (238237732832).

The spelling of 214034302420 in words is "two hundred fourteen billion, thirty-four million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2089 4178 8356 10445 20890 41780 5122889 10245778 20491556 25614445 51228890 102457780 10701715121 21403430242 42806860484 53508575605 107017151210 214034302420