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131288224 = 2531132347
BaseRepresentation
bin1111101001101…
…00110010100000
3100011001010120211
413310310302200
5232102210344
621005543504
73152634334
oct764646240
9304033524
10131288224
1168121871
1237b74b94
1321279c52
14136177c4
15b7d5334
hex7d34ca0

131288224 has 24 divisors (see below), whose sum is σ = 266813568. Its totient is φ = 63526080.

The previous prime is 131288207. The next prime is 131288231. The reversal of 131288224 is 422882131.

It is a happy number.

It is a super-2 number, since 2×1312882242 = 34473195522148352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 65182 + ... + 67165.

It is an arithmetic number, because the mean of its divisors is an integer number (11117232).

Almost surely, 2131288224 is an apocalyptic number.

It is an amenable number.

131288224 is an abundant number, since it is smaller than the sum of its proper divisors (135525344).

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

131288224 is a wasteful number, since it uses less digits than its factorization.

131288224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132388 (or 132380 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 131288224 is about 11458.1073480746. The cubic root of 131288224 is about 508.2475078848.

The spelling of 131288224 in words is "one hundred thirty-one million, two hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 132347 264694 529388 1058776 2117552 4102757 4235104 8205514 16411028 32822056 65644112 131288224