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2140404221 = 411011493469
BaseRepresentation
bin111111110010011…
…1111100111111101
312112011112210121102
41333210333213331
513340420413341
6552220142445
7104020064354
oct17744774775
95464483542
102140404221
119a922540a
124b8997a25
13281596697
141643a699b
15c7d98c9b
hex7f93f9fd

2140404221 has 16 divisors (see below), whose sum is σ = 2229822000. Its totient is φ = 2053056000.

The previous prime is 2140404209. The next prime is 2140404229. The reversal of 2140404221 is 1224040412.

It can be written as a sum of positive squares in 8 ways, for example, as 520341721 + 1620062500 = 22811^2 + 40250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2140404221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2140404193 and 2140404202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140404229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615275 + ... + 618743.

It is an arithmetic number, because the mean of its divisors is an integer number (139363875).

Almost surely, 22140404221 is an apocalyptic number.

It is an amenable number.

2140404221 is a deficient number, since it is larger than the sum of its proper divisors (89417779).

2140404221 is a wasteful number, since it uses less digits than its factorization.

2140404221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760.

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2140404221 is about 46264.5028180353. The cubic root of 2140404221 is about 1288.7398749613.

Adding to 2140404221 its reverse (1224040412), we get a palindrome (3364444633).

The spelling of 2140404221 in words is "two billion, one hundred forty million, four hundred four thousand, two hundred twenty-one".

Divisors: 1 41 101 149 3469 4141 6109 15049 142229 350369 516881 617009 14365129 21192121 52204981 2140404221