Search a number
-
+
21772852 = 22172961181
BaseRepresentation
bin101001100001…
…1101000110100
31111222011201221
41103003220310
521033212402
62054400124
7353031463
oct123035064
944864657
1021772852
11113212a2
127360044
13468435a
142c6a9da
151da1337
hex14c3a34

21772852 has 48 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 9676800.

The previous prime is 21772843. The next prime is 21772853. The reversal of 21772852 is 25827712.

It can be written as a sum of positive squares in 8 ways, for example, as 4682896 + 17089956 = 2164^2 + 4134^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21772853) by changing a digit.

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, 120202 + ... + 120382.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 221772852 is an apocalyptic number.

It is an amenable number.

21772852 is a deficient number, since it is larger than the sum of its proper divisors (20880668).

21772852 is a wasteful number, since it uses less digits than its factorization.

21772852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its digits is 15680, while the sum is 34.

The square root of 21772852 is about 4666.1388749157. The cubic root of 21772852 is about 279.2362348738.

The spelling of 21772852 in words is "twenty-one million, seven hundred seventy-two thousand, eight hundred fifty-two".

Divisors: 1 2 4 17 29 34 58 61 68 116 122 181 244 362 493 724 986 1037 1769 1972 2074 3077 3538 4148 5249 6154 7076 10498 11041 12308 20996 22082 30073 44164 60146 89233 120292 178466 187697 320189 356932 375394 640378 750788 1280756 5443213 10886426 21772852