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2251434141 = 321122741759
BaseRepresentation
bin1000011000110010…
…0010100010011101
312210220110201000200
42012030202202131
514102331343031
61011224014113
7106535605635
oct20614424235
95726421020
102251434141
11a5596a880
1252a001339
1329b59c768
141750296c5
15d29cb8e6
hex8632289d

2251434141 has 12 divisors (see below), whose sum is σ = 3547714560. Its totient is φ = 1364505480.

The previous prime is 2251434137. The next prime is 2251434173. The reversal of 2251434141 is 1414341522.

2251434141 is a `hidden beast` number, since 2 + 2 + 514 + 3 + 4 + 141 = 666.

It is not a de Polignac number, because 2251434141 - 22 = 2251434137 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251434121) 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 11 ways as a sum of consecutive naturals, for example, 11370781 + ... + 11370978.

It is an arithmetic number, because the mean of its divisors is an integer number (295642880).

Almost surely, 22251434141 is an apocalyptic number.

It is an amenable number.

2251434141 is a deficient number, since it is larger than the sum of its proper divisors (1296280419).

2251434141 is a wasteful number, since it uses less digits than its factorization.

2251434141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22741776 (or 22741773 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2251434141 is about 47449.2796678727. The cubic root of 2251434141 is about 1310.6490463202.

Adding to 2251434141 its reverse (1414341522), we get a palindrome (3665775663).

The spelling of 2251434141 in words is "two billion, two hundred fifty-one million, four hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 22741759 68225277 204675831 250159349 750478047 2251434141