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2220400107 = 3517537497
BaseRepresentation
bin1000010001011000…
…1001110111101011
312201202002000100000
42010112021313223
514021410300412
61004154514043
7106011042462
oct20426116753
95652060300
102220400107
11a3a3a3512
1251b735923
13295024c23
14170c6b9d9
15cedeb4dc
hex84589deb

2220400107 has 24 divisors (see below), whose sum is σ = 3521686896. Its totient is φ = 1393189632.

The previous prime is 2220400067. The next prime is 2220400177. The reversal of 2220400107 is 7010040222.

2220400107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2220400107 - 26 = 2220400043 is a prime.

It is a super-2 number, since 2×22204001072 = 9860353270331222898, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2220400107.

It is not an unprimeable number, because it can be changed into a prime (2220400177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264618 + ... + 272879.

It is an arithmetic number, because the mean of its divisors is an integer number (146736954).

Almost surely, 22220400107 is an apocalyptic number.

2220400107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2220400107 is a deficient number, since it is larger than the sum of its proper divisors (1301286789).

2220400107 is an equidigital number, since it uses as much as digits as its factorization.

2220400107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537529 (or 537517 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2220400107 is about 47121.1216653424. The cubic root of 2220400107 is about 1304.5991158658.

Adding to 2220400107 its reverse (7010040222), we get a palindrome (9230440329).

The spelling of 2220400107 in words is "two billion, two hundred twenty million, four hundred thousand, one hundred seven".

Divisors: 1 3 9 17 27 51 81 153 243 459 1377 4131 537497 1612491 4837473 9137449 14512419 27412347 43537257 82237041 130611771 246711123 740133369 2220400107