Search a number
-
+
32201020 = 2252959941
BaseRepresentation
bin111101011010…
…1100100111100
32020120222111101
41322311210330
531220413040
63110102444
7540463345
oct172654474
966528441
1032201020
11171a4115
12a94aa24
136895a77
1443c30cc
152c6109a
hex1eb593c

32201020 has 48 divisors (see below), whose sum is σ = 71215200. Its totient is φ = 12212480.

The previous prime is 32201003. The next prime is 32201021. The reversal of 32201020 is 2010223.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 32200988 and 32201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32201021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33750 + ... + 34690.

It is an arithmetic number, because the mean of its divisors is an integer number (1483650).

Almost surely, 232201020 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 32201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35607600).

32201020 is an abundant number, since it is smaller than the sum of its proper divisors (39014180).

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

32201020 is a wasteful number, since it uses less digits than its factorization.

32201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 32201020 is about 5674.5942586233. The cubic root of 32201020 is about 318.1436135205.

Adding to 32201020 its reverse (2010223), we get a palindrome (34211243).

The spelling of 32201020 in words is "thirty-two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 236 290 295 580 590 941 1180 1711 1882 3422 3764 4705 6844 8555 9410 17110 18820 27289 34220 54578 55519 109156 111038 136445 222076 272890 277595 545780 555190 1110380 1610051 3220102 6440204 8050255 16100510 32201020