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2246954481 = 321722929789
BaseRepresentation
bin1000010111101101…
…1100110111110001
312210121001010002100
42011323130313301
514100210020411
61010544011013
7106452540462
oct20573346761
95717033070
102246954481
11a53390182
12528600a69
1329a691785
141745c0d69
15d23e4456
hex85edcdf1

2246954481 has 36 divisors (see below), whose sum is σ = 3566756700. Its totient is φ = 1361192448.

The previous prime is 2246954477. The next prime is 2246954483. The reversal of 2246954481 is 1844596422.

It is a happy number.

2246954481 is a `hidden beast` number, since 2 + 24 + 6 + 9 + 544 + 81 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 194481 + 2246760000 = 441^2 + 47400^2 .

It is not a de Polignac number, because 2246954481 - 22 = 2246954477 is a prime.

It is a super-3 number, since 3×22469544813 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2246954483) 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 35 ways as a sum of consecutive naturals, for example, 60535 + ... + 90323.

It is an arithmetic number, because the mean of its divisors is an integer number (99076575).

Almost surely, 22246954481 is an apocalyptic number.

It is an amenable number.

2246954481 is a deficient number, since it is larger than the sum of its proper divisors (1319802219).

2246954481 is a wasteful number, since it uses less digits than its factorization.

2246954481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29858 (or 29838 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2246954481 is about 47402.0514429492. The cubic root of 2246954481 is about 1309.7792066166.

The spelling of 2246954481 in words is "two billion, two hundred forty-six million, nine hundred fifty-four thousand, four hundred eighty-one".

Divisors: 1 3 9 17 29 51 87 153 261 289 493 867 1479 2601 4437 8381 25143 29789 75429 89367 268101 506413 863881 1519239 2591643 4557717 7774929 8609021 14685977 25827063 44057931 77481189 132173793 249661609 748984827 2246954481