Search a number
-
+
132331220 = 22577113313
BaseRepresentation
bin1111110001100…
…11011011010100
3100020000010022022
413320303123110
5232334044340
621044152312
73164540210
oct770633324
9306003268
10132331220
116877444a
1238398698
13215538c8
1413809940
15b93e3b5
hex7e336d4

132331220 has 48 divisors (see below), whose sum is σ = 322092288. Its totient is φ = 44728320.

The previous prime is 132331217. The next prime is 132331237. The reversal of 132331220 is 22133231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3284 + ... + 16596.

It is an arithmetic number, because the mean of its divisors is an integer number (6710256).

Almost surely, 2132331220 is an apocalyptic number.

132331220 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 132331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161046144).

132331220 is an abundant number, since it is smaller than the sum of its proper divisors (189761068).

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

132331220 is a wasteful number, since it uses less digits than its factorization.

132331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13400 (or 13398 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 132331220 is about 11503.5307623355. The cubic root of 132331220 is about 509.5898535078.

Adding to 132331220 its reverse (22133231), we get a palindrome (154464451).

The spelling of 132331220 in words is "one hundred thirty-two million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 13313 26626 53252 66565 93191 133130 186382 266260 372764 465955 931910 945223 1863820 1890446 3780892 4726115 6616561 9452230 13233122 18904460 26466244 33082805 66165610 132331220