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1225131444 = 223234031429
BaseRepresentation
bin100100100000110…
…0000010110110100
310011101022010101200
41021001200112310
510002113201234
6321322452500
742234305535
oct11101402664
93141263350
101225131444
11579611429
122a2364130
13166a83464
14b89d268c
1572851d99
hex490605b4

1225131444 has 18 divisors (see below), whose sum is σ = 3096860130. Its totient is φ = 408377136.

The previous prime is 1225131433. The next prime is 1225131487. The reversal of 1225131444 is 4441315221.

1225131444 is a `hidden beast` number, since 1 + 2 + 2 + 513 + 144 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1058721444 + 166410000 = 32538^2 + 12900^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17015679 + ... + 17015750.

It is an arithmetic number, because the mean of its divisors is an integer number (172047785).

Almost surely, 21225131444 is an apocalyptic number.

It is an amenable number.

1225131444 is an abundant number, since it is smaller than the sum of its proper divisors (1871728686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1225131444 is a wasteful number, since it uses less digits than its factorization.

1225131444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34031439 (or 34031434 counting only the distinct ones).

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

The square root of 1225131444 is about 35001.8777210595. The cubic root of 1225131444 is about 1070.0257495186.

Adding to 1225131444 its reverse (4441315221), we get a palindrome (5666446665).

The spelling of 1225131444 in words is "one billion, two hundred twenty-five million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 34031429 68062858 102094287 136125716 204188574 306282861 408377148 612565722 1225131444