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4205216201 = 2327949369
BaseRepresentation
bin1111101010100110…
…1000000111001001
3101212001212010011012
43322221220013021
532103013404301
61533140213305
7206131514354
oct37251500711
911761763135
104205216201
11186880a19a
1299439a235
135202b4014
142bc6d329b
151992aeebb
hexfaa681c9

4205216201 has 6 divisors (see below), whose sum is σ = 4396001610. Its totient is φ = 4022380208.

The previous prime is 4205216161. The next prime is 4205216219. The reversal of 4205216201 is 1026125024.

It is a happy number.

4205216201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4182984976 + 22231225 = 64676^2 + 4715^2 .

It is not a de Polignac number, because 4205216201 - 210 = 4205215177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4205236201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3974156 + ... + 3975213.

It is an arithmetic number, because the mean of its divisors is an integer number (732666935).

Almost surely, 24205216201 is an apocalyptic number.

It is an amenable number.

4205216201 is a deficient number, since it is larger than the sum of its proper divisors (190785409).

4205216201 is an equidigital number, since it uses as much as digits as its factorization.

4205216201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7949415 (or 7949392 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4205216201 is about 64847.6383610074. The cubic root of 4205216201 is about 1614.0963036786.

The spelling of 4205216201 in words is "four billion, two hundred five million, two hundred sixteen thousand, two hundred one".

Divisors: 1 23 529 7949369 182835487 4205216201