Search a number
-
+
2242042551 = 33747383659
BaseRepresentation
bin1000010110100010…
…1101101010110111
312210020210120012000
42011220231222313
514042430330201
61010250430343
7106363022130
oct20550555267
95706716160
102242042551
11a50635831
12526a323b3
13299661ac8
14173aa2c87
15d1c73d86
hex85a2dab7

2242042551 has 64 divisors (see below), whose sum is σ = 3892838400. Its totient is φ = 1248736608.

The previous prime is 2242042549. The next prime is 2242042559. The reversal of 2242042551 is 1552402422.

It is not a de Polignac number, because 2242042551 - 21 = 2242042549 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242042559) 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 63 ways as a sum of consecutive naturals, for example, 3401860 + ... + 3402518.

It is an arithmetic number, because the mean of its divisors is an integer number (60825600).

Almost surely, 22242042551 is an apocalyptic number.

2242042551 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2242042551 is a deficient number, since it is larger than the sum of its proper divisors (1650795849).

2242042551 is a wasteful number, since it uses less digits than its factorization.

2242042551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2242042551 is about 47350.2117313112. The cubic root of 2242042551 is about 1308.8241008610.

Adding to 2242042551 its reverse (1552402422), we get a palindrome (3794444973).

The spelling of 2242042551 in words is "two billion, two hundred forty-two million, forty-two thousand, five hundred fifty-one".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 383 423 659 987 1149 1269 1977 2681 2961 3447 4613 5931 8043 8883 10341 13839 17793 18001 24129 30973 41517 54003 72387 92919 124551 126007 162009 216811 252397 278757 378021 486027 650433 757191 836271 1134063 1766779 1951299 2271573 3402189 5300337 5853897 6814719 11862659 15901011 35587977 47703033 83038613 106763931 249115839 320291793 747347517 2242042551