Search a number
-
+
32022020 = 22537109397
BaseRepresentation
bin111101000100…
…1111000000100
32020020212221202
41322021320010
531144201040
63102202032
7536116442
oct172117004
966225852
1032022020
1117091688
12a883318
136832454
144377b92
152c28015
hex1e89e04

32022020 has 48 divisors (see below), whose sum is σ = 69872880. Its totient is φ = 12317184.

The previous prime is 32021989. The next prime is 32022059. The reversal of 32022020 is 2022023.

It can be written as a sum of positive squares in 8 ways, for example, as 3655744 + 28366276 = 1912^2 + 5326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32021992 and 32022010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80462 + ... + 80858.

It is an arithmetic number, because the mean of its divisors is an integer number (1455685).

Almost surely, 232022020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34936440).

32022020 is an abundant number, since it is smaller than the sum of its proper divisors (37850860).

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

32022020 is a wasteful number, since it uses less digits than its factorization.

32022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 32022020 is about 5658.8002261964. The cubic root of 32022020 is about 317.5530157197.

Adding to 32022020 its reverse (2022023), we get a palindrome (34044043).

The spelling of 32022020 in words is "thirty-two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 370 397 436 545 740 794 1090 1588 1985 2180 3970 4033 7940 8066 14689 16132 20165 29378 40330 43273 58756 73445 80660 86546 146890 173092 216365 293780 432730 865460 1601101 3202202 6404404 8005505 16011010 32022020