Search a number
-
+
22130432 = 28137631
BaseRepresentation
bin101010001101…
…0111100000000
31112122100020122
41110122330000
521131133212
62110155412
7356051132
oct124327400
945570218
1022130432
1111545a15
1274b2b68
13477b03c
142d21052
151e22272
hex151af00

22130432 has 36 divisors (see below), whose sum is σ = 44567376. Its totient is φ = 10967040.

The previous prime is 22130431. The next prime is 22130441. The reversal of 22130432 is 23403122.

It is a self number, because there is not a number n which added to its sum of digits gives 22130432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34757 + ... + 35387.

Almost surely, 222130432 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 22130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22283688).

22130432 is an abundant number, since it is smaller than the sum of its proper divisors (22436944).

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

22130432 is an equidigital number, since it uses as much as digits as its factorization.

22130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 770 counting only the distinct ones).

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

The square root of 22130432 is about 4704.2993102055. The cubic root of 22130432 is about 280.7565932098.

Adding to 22130432 its reverse (23403122), we get a palindrome (45533554).

The spelling of 22130432 in words is "twenty-two million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 548 631 1096 1262 2192 2524 4384 5048 8768 10096 17536 20192 35072 40384 80768 86447 161536 172894 345788 691576 1383152 2766304 5532608 11065216 22130432