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2255353101 = 321132578629
BaseRepresentation
bin1000011001101101…
…1111010100001101
312211011211210211100
42012123133110031
514104332244401
61011444013313
7106614120321
oct20633372415
95734753740
102255353101
11a580a7191
1252b391239
1329c342481
14175769981
15d3002b86
hex866df50d

2255353101 has 24 divisors (see below), whose sum is σ = 3299732280. Its totient is φ = 1484292096.

The previous prime is 2255353069. The next prime is 2255353103. The reversal of 2255353101 is 1013535522.

It is a happy number.

2255353101 is a `hidden beast` number, since 2 + 2 + 553 + 5 + 3 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 594872100 + 1660481001 = 24390^2 + 40749^2 .

It is not a de Polignac number, because 2255353101 - 25 = 2255353069 is a prime.

It is a super-2 number, since 2×22553531012 = 10173235220380632402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255353103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257055 + ... + 265683.

It is an arithmetic number, because the mean of its divisors is an integer number (137488845).

Almost surely, 22255353101 is an apocalyptic number.

It is an amenable number.

2255353101 is a deficient number, since it is larger than the sum of its proper divisors (1044379179).

2255353101 is a wasteful number, since it uses less digits than its factorization.

2255353101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005 (or 9002 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2255353101 is about 47490.5580194632. The cubic root of 2255353101 is about 1311.4090661607.

Adding to 2255353101 its reverse (1013535522), we get a palindrome (3268888623).

The spelling of 2255353101 in words is "two billion, two hundred fifty-five million, three hundred fifty-three thousand, one hundred one".

Divisors: 1 3 9 113 257 339 771 1017 2313 8629 25887 29041 77661 87123 261369 975077 2217653 2925231 6652959 8775693 19958877 250594789 751784367 2255353101