Search a number
-
+
132220130 = 25721511787
BaseRepresentation
bin1111110000110…
…00010011100010
3100012210110220212
413320120103202
5232322021010
621041534122
73163565300
oct770302342
9305713825
10132220130
11686a8a39
1238344342
1321515183
14137bb270
15b91b505
hex7e184e2

132220130 has 48 divisors (see below), whose sum is σ = 278842176. Its totient is φ = 45007200.

The previous prime is 132220117. The next prime is 132220157. The reversal of 132220130 is 31022231.

It is a happy number.

132220130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 23 ways as a sum of consecutive naturals, for example, 73097 + ... + 74883.

It is an arithmetic number, because the mean of its divisors is an integer number (5809212).

Almost surely, 2132220130 is an apocalyptic number.

132220130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132220130 is an abundant number, since it is smaller than the sum of its proper divisors (146622046).

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

132220130 is a wasteful number, since it uses less digits than its factorization.

132220130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132220130 is about 11498.7012310087. The cubic root of 132220130 is about 509.4472160023.

Adding to 132220130 its reverse (31022231), we get a palindrome (163242361).

It can be divided in two parts, 1322201 and 30, that added together give a palindrome (1322231).

The spelling of 132220130 in words is "one hundred thirty-two million, two hundred twenty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 151 245 302 490 755 1057 1510 1787 2114 3574 5285 7399 8935 10570 12509 14798 17870 25018 36995 62545 73990 87563 125090 175126 269837 437815 539674 875630 1349185 1888859 2698370 3777718 9444295 13222013 18888590 26444026 66110065 132220130