[go: up one dir, main page]

Search a number
-
+
32022180 = 22325732437
BaseRepresentation
bin111101000100…
…1111010100100
32020020220011200
41322021322210
531144202210
63102202500
7536120061
oct172117244
966226150
1032022180
1117091813
12a883430
136832548
144377c68
152c280c0
hex1e89ea4

32022180 has 72 divisors (see below), whose sum is σ = 98504952. Its totient is φ = 8418816.

The previous prime is 32022167. The next prime is 32022197. The reversal of 32022180 is 8122023.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11009124 + 21013056 = 3318^2 + 4584^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11922 + ... + 14358.

Almost surely, 232022180 is an apocalyptic number.

32022180 is a gapful number since it is divisible by the number (30) 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 32022180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49252476).

32022180 is an abundant number, since it is smaller than the sum of its proper divisors (66482772).

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

32022180 is a wasteful number, since it uses less digits than its factorization.

32022180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 32022180 is about 5658.8143634511. The cubic root of 32022180 is about 317.5535446099.

It can be divided in two parts, 320 and 22180, that added together give a square (22500 = 1502).

The spelling of 32022180 in words is "thirty-two million, twenty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2437 2628 3285 4380 4874 6570 7311 9748 12185 13140 14622 21933 24370 29244 36555 43866 48740 73110 87732 109665 146220 177901 219330 355802 438660 533703 711604 889505 1067406 1601109 1779010 2134812 2668515 3202218 3558020 5337030 6404436 8005545 10674060 16011090 32022180