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2043400221 = 32173371249
BaseRepresentation
bin111100111001011…
…1101000000011101
312021102000111010200
41321302331000131
513141102301341
6534433054113
7101431421022
oct17162750035
95242014120
102043400221
1195949a915
124903b7339
13267461775
14155555549
15be5d6db6
hex79cbd01d

2043400221 has 48 divisors (see below), whose sum is σ = 3223350000. Its totient is φ = 1246482432.

The previous prime is 2043400207. The next prime is 2043400223. The reversal of 2043400221 is 1220043402.

2043400221 is a `hidden beast` number, since 2 + 0 + 43 + 400 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 108368100 + 1935032121 = 10410^2 + 43989^2 .

It is not a de Polignac number, because 2043400221 - 211 = 2043398173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2043400194 and 2043400203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043400223) 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 47 ways as a sum of consecutive naturals, for example, 1635405 + ... + 1636653.

It is an arithmetic number, because the mean of its divisors is an integer number (67153125).

Almost surely, 22043400221 is an apocalyptic number.

It is an amenable number.

2043400221 is a deficient number, since it is larger than the sum of its proper divisors (1179949779).

2043400221 is a wasteful number, since it uses less digits than its factorization.

2043400221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2043400221 is about 45203.9845699469. The cubic root of 2043400221 is about 1268.9693874919.

Adding to 2043400221 its reverse (1220043402), we get a palindrome (3263443623).

The spelling of 2043400221 in words is "two billion, forty-three million, four hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 17 37 51 111 153 289 333 629 867 1249 1887 2601 3747 4913 5661 10693 11241 14739 21233 32079 44217 46213 63699 96237 138639 181781 191097 360961 415917 545343 785621 1082883 1636029 2356863 3248649 6136337 7070589 13355557 18409011 40066671 55227033 120200013 227044469 681133407 2043400221