Search a number
-
+
4141224200 = 235220706121
BaseRepresentation
bin1111011011010110…
…0001000100001000
3101200121102222122002
43312311201010020
531440123133300
61522532450132
7204423552641
oct36665410410
911617388562
104141224200
111835682043
12976a79948
1350cc6a029
142b3dd66c8
1519386e5d5
hexf6d61108

4141224200 has 24 divisors (see below), whose sum is σ = 9628346730. Its totient is φ = 1656489600.

The previous prime is 4141224193. The next prime is 4141224209. The reversal of 4141224200 is 24221414.

It can be written as a sum of positive squares in 3 ways, for example, as 2983999876 + 1157224324 = 54626^2 + 34018^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4141224209) 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, 10352861 + ... + 10353260.

Almost surely, 24141224200 is an apocalyptic number.

4141224200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141224200 is an abundant number, since it is smaller than the sum of its proper divisors (5487122530).

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

4141224200 is a wasteful number, since it uses less digits than its factorization.

4141224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20706137 (or 20706128 counting only the distinct ones).

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

The square root of 4141224200 is about 64352.3441686470. The cubic root of 4141224200 is about 1605.8670276537.

Adding to 4141224200 its reverse (24221414), we get a palindrome (4165445614).

The spelling of 4141224200 in words is "four billion, one hundred forty-one million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 20706121 41412242 82824484 103530605 165648968 207061210 414122420 517653025 828244840 1035306050 2070612100 4141224200