Search a number
-
+
4182220021 = 72721311833
BaseRepresentation
bin1111100101000111…
…1001110011110101
3101210110120210022211
43321101321303311
532031122020041
61530555253421
7205432166200
oct37121716365
911713523284
104182220021
111856832891
1298874a271
135185c1c05
142b9628937
1519726b481
hexf9479cf5

4182220021 has 12 divisors (see below), whose sum is σ = 4866117132. Its totient is φ = 3583960128.

The previous prime is 4182219953. The next prime is 4182220039. The reversal of 4182220021 is 1200222814.

It can be written as a sum of positive squares in 2 ways, for example, as 3734432100 + 447787921 = 61110^2 + 21161^2 .

It is not a de Polignac number, because 4182220021 - 215 = 4182187253 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4182219974 and 4182220001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182220051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347521 + ... + 359353.

It is an arithmetic number, because the mean of its divisors is an integer number (405509761).

Almost surely, 24182220021 is an apocalyptic number.

It is an amenable number.

4182220021 is a deficient number, since it is larger than the sum of its proper divisors (683897111).

4182220021 is a wasteful number, since it uses less digits than its factorization.

4182220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19060 (or 19053 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4182220021 is about 64670.0859826241. The cubic root of 4182220021 is about 1611.1487013397.

Adding to 4182220021 its reverse (1200222814), we get a palindrome (5382442835).

The spelling of 4182220021 in words is "four billion, one hundred eighty-two million, two hundred twenty thousand, twenty-one".

Divisors: 1 7 49 7213 11833 50491 82831 353437 579817 85351429 597460003 4182220021