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132322220 = 225172316921
BaseRepresentation
bin1111110001100…
…01001110101100
3100012222122221222
413320301032230
5232333302340
621044042512
73164502032
oct770611654
9305878858
10132322220
1168768708
1238393438
132154c794
1413806552
15b93b8b5
hex7e313ac

132322220 has 48 divisors (see below), whose sum is σ = 307032768. Its totient is φ = 47646720.

The previous prime is 132322207. The next prime is 132322231. The reversal of 132322220 is 22223231.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 641 + ... + 16280.

It is an arithmetic number, because the mean of its divisors is an integer number (6396516).

Almost surely, 2132322220 is an apocalyptic number.

132322220 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 132322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153516384).

132322220 is an abundant number, since it is smaller than the sum of its proper divisors (174710548).

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

132322220 is a wasteful number, since it uses less digits than its factorization.

132322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16970 (or 16968 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 132322220 is about 11503.1395714387. The cubic root of 132322220 is about 509.5783006466.

Adding to 132322220 its reverse (22223231), we get a palindrome (154545451).

The spelling of 132322220 in words is "one hundred thirty-two million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 16921 33842 67684 84605 169210 287657 338420 389183 575314 778366 1150628 1438285 1556732 1945915 2876570 3891830 5753140 6616111 7783660 13232222 26464444 33080555 66161110 132322220