Search a number
-
+
2256676551 = 33349923887
BaseRepresentation
bin1000011010000010…
…0010011011000111
312211021100001021000
42012200202123013
514110202122201
61011532224343
7106631301633
oct20640423307
95737301230
102256676551
11a58920548
1252b90b0b3
1329c6b698c
141759d1dc3
15d31b4d86
hex868226c7

2256676551 has 16 divisors (see below), whose sum is σ = 3344320000. Its totient is φ = 1503958104.

The previous prime is 2256676549. The next prime is 2256676571. The reversal of 2256676551 is 1556766522.

2256676551 is a `hidden beast` number, since 2 + 25 + 6 + 6 + 76 + 551 = 666.

It is not a de Polignac number, because 2256676551 - 21 = 2256676549 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2256676497 and 2256676506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256676501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82530 + ... + 106416.

It is an arithmetic number, because the mean of its divisors is an integer number (209020000).

Almost surely, 22256676551 is an apocalyptic number.

2256676551 is a deficient number, since it is larger than the sum of its proper divisors (1087643449).

2256676551 is a wasteful number, since it uses less digits than its factorization.

2256676551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27395 (or 27389 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 2256676551 is about 47504.4897983338. The cubic root of 2256676551 is about 1311.6655293218.

The spelling of 2256676551 in words is "two billion, two hundred fifty-six million, six hundred seventy-six thousand, five hundred fifty-one".

Divisors: 1 3 9 27 3499 10497 23887 31491 71661 94473 214983 644949 83580613 250741839 752225517 2256676551