Search a number
-
+
3132214000 = 24531566107
BaseRepresentation
bin1011101010110001…
…1100101011110000
322002021210221211221
42322230130223300
522403321322000
61234450114424
7140422244146
oct27254345360
98067727757
103132214000
111368064813
12734b7ba14
133abbc6986
14219dc1596
15134ead61a
hexbab1caf0

3132214000 has 40 divisors (see below), whose sum is σ = 7573698288. Its totient is φ = 1252884800.

The previous prime is 3132213961. The next prime is 3132214003. The reversal of 3132214000 is 4122313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132214003) 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 7 ways as a sum of consecutive naturals, for example, 781054 + ... + 785053.

Almost surely, 23132214000 is an apocalyptic number.

It is an amenable number.

3132214000 is an abundant number, since it is smaller than the sum of its proper divisors (4441484288).

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

3132214000 is a wasteful number, since it uses less digits than its factorization.

3132214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566130 (or 1566114 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3132214000 is about 55966.1862198953. The cubic root of 3132214000 is about 1463.1330106083.

Adding to 3132214000 its reverse (4122313), we get a palindrome (3136336313).

The spelling of 3132214000 in words is "three billion, one hundred thirty-two million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1566107 3132214 6264428 7830535 12528856 15661070 25057712 31322140 39152675 62644280 78305350 125288560 156610700 195763375 313221400 391526750 626442800 783053500 1566107000 3132214000