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2246561131 = 47612573049
BaseRepresentation
bin1000010111100111…
…1100110101101011
312210120022010111211
42011321330311223
514100104424011
61010531333551
7106446311623
oct20571746553
95716263454
102246561131
11a531416a1
125284512b7
1329a584719
1417451b883
15d2367b21
hex85e7cd6b

2246561131 has 16 divisors (see below), whose sum is σ = 2341814400. Its totient is φ = 2153594880.

The previous prime is 2246561129. The next prime is 2246561137. The reversal of 2246561131 is 1311656422.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2246561131 - 21 = 2246561129 is a prime.

It is a super-2 number, since 2×22465611312 = 10094073830639998322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2246561093 and 2246561102.

It is not an unprimeable number, because it can be changed into a prime (2246561137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735295 + ... + 738343.

It is an arithmetic number, because the mean of its divisors is an integer number (146363400).

Almost surely, 22246561131 is an apocalyptic number.

2246561131 is a deficient number, since it is larger than the sum of its proper divisors (95253269).

2246561131 is a wasteful number, since it uses less digits than its factorization.

2246561131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414.

The product of its digits is 8640, while the sum is 31.

The square root of 2246561131 is about 47397.9021793159. The cubic root of 2246561131 is about 1309.7027725334.

The spelling of 2246561131 in words is "two billion, two hundred forty-six million, five hundred sixty-one thousand, one hundred thirty-one".

Divisors: 1 47 61 257 2867 3049 12079 15677 143303 185989 736819 783593 8741483 36828871 47799173 2246561131