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2254153131 = 341713911777
BaseRepresentation
bin1000011001011011…
…1010010110101011
312211002120211210000
42012112322112223
514104030400011
61011402154043
7106600662006
oct20626722653
95732524700
102254153131
11a5745767a
1252aab2923
1329c012229
1417553653d
15d2d67356
hex865ba5ab

2254153131 has 40 divisors (see below), whose sum is σ = 3591347760. Its totient is φ = 1404076032.

The previous prime is 2254153129. The next prime is 2254153147. The reversal of 2254153131 is 1313514522.

It is not a de Polignac number, because 2254153131 - 21 = 2254153129 is a prime.

It is a super-2 number, since 2×22541531312 = 10162412675994206322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2254153095 and 2254153104.

It is not an unprimeable number, because it can be changed into a prime (2254153831) 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 39 ways as a sum of consecutive naturals, for example, 185515 + ... + 197291.

It is an arithmetic number, because the mean of its divisors is an integer number (89783694).

Almost surely, 22254153131 is an apocalyptic number.

2254153131 is a deficient number, since it is larger than the sum of its proper divisors (1337194629).

2254153131 is a wasteful number, since it uses less digits than its factorization.

2254153131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11945 (or 11936 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2254153131 is about 47477.9225640718. The cubic root of 2254153131 is about 1311.1764446837.

Adding to 2254153131 its reverse (1313514522), we get a palindrome (3567667653).

The spelling of 2254153131 in words is "two billion, two hundred fifty-four million, one hundred fifty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 17 27 51 81 139 153 417 459 1251 1377 2363 3753 7089 11259 11777 21267 35331 63801 105993 191403 200209 317979 600627 953937 1637003 1801881 4911009 5405643 14733027 16216929 27829051 44199081 83487153 132597243 250461459 751384377 2254153131