Search a number
-
+
132210200 = 23521913461
BaseRepresentation
bin1111110000101…
…01111000011000
3100012202222022002
413320111320120
5232321211300
621041420132
73163524323
oct770257030
9305688262
10132210200
11686a1531
123833a648
13215107b5
14137b77ba
15b9185d5
hex7e15e18

132210200 has 48 divisors (see below), whose sum is σ = 309087360. Its totient is φ = 52592000.

The previous prime is 132210181. The next prime is 132210263. The reversal of 132210200 is 2012231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36470 + ... + 39930.

It is an arithmetic number, because the mean of its divisors is an integer number (6439320).

Almost surely, 2132210200 is an apocalyptic number.

132210200 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 132210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154543680).

132210200 is an abundant number, since it is smaller than the sum of its proper divisors (176877160).

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

132210200 is a wasteful number, since it uses less digits than its factorization.

132210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 132210200 is about 11498.2694350063. The cubic root of 132210200 is about 509.4344621765.

Adding to 132210200 its reverse (2012231), we get a palindrome (134222431).

The spelling of 132210200 in words is "one hundred thirty-two million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 382 764 955 1528 1910 3461 3820 4775 6922 7640 9550 13844 17305 19100 27688 34610 38200 69220 86525 138440 173050 346100 661051 692200 1322102 2644204 3305255 5288408 6610510 13221020 16526275 26442040 33052550 66105100 132210200