Search a number
-
+
132230000 = 245471889
BaseRepresentation
bin1111110000110…
…10101101110000
3100012210222110102
413320122231300
5232322330000
621042051532
73163636130
oct770325560
9305728412
10132230000
11687053a1
1238349ba8
1321519806
14137c0ac0
15b91e3d5
hex7e1ab70

132230000 has 100 divisors (see below), whose sum is σ = 366070320. Its totient is φ = 45312000.

The previous prime is 132229991. The next prime is 132230011. The reversal of 132230000 is 32231.

132230000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69056 + ... + 70944.

Almost surely, 2132230000 is an apocalyptic number.

132230000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183035160).

132230000 is an abundant number, since it is smaller than the sum of its proper divisors (233840320).

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

132230000 is an equidigital number, since it uses as much as digits as its factorization.

132230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 132230000 is about 11499.1304019043. The cubic root of 132230000 is about 509.4598921329.

Adding to 132230000 its reverse (32231), we get a palindrome (132262231).

The spelling of 132230000 in words is "one hundred thirty-two million, two hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 1889 2000 2500 2800 3500 3778 4375 5000 7000 7556 8750 9445 10000 13223 14000 15112 17500 18890 26446 30224 35000 37780 47225 52892 66115 70000 75560 94450 105784 132230 151120 188900 211568 236125 264460 330575 377800 472250 528920 661150 755600 944500 1057840 1180625 1322300 1652875 1889000 2361250 2644600 3305750 3778000 4722500 5289200 6611500 8264375 9445000 13223000 16528750 18890000 26446000 33057500 66115000 132230000