Search a number
-
+
22529024 = 21072449
BaseRepresentation
bin101010111110…
…0010000000000
31120101121000022
41111330100000
521231412044
62122513012
7362331200
oct125742000
946347008
1022529024
1111798431
127665768
13488a5ab
142dc6400
151ea03ee
hex157c400

22529024 has 66 divisors (see below), whose sum is σ = 52505550. Its totient is φ = 9633792.

The previous prime is 22528999. The next prime is 22529047. The reversal of 22529024 is 42092522.

It can be written as a sum of positive squares in only one way, i.e., 20070400 + 2458624 = 4480^2 + 1568^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 22528984 and 22529002.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49952 + ... + 50400.

Almost surely, 222529024 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 22529024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26252775).

22529024 is an abundant number, since it is smaller than the sum of its proper divisors (29976526).

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

22529024 is an equidigital number, since it uses as much as digits as its factorization.

22529024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 22529024 is about 4746.4749024934. The cubic root of 22529024 is about 282.4321459714.

The spelling of 22529024 in words is "twenty-two million, five hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 449 512 784 896 898 1024 1568 1792 1796 3136 3143 3584 3592 6272 6286 7168 7184 12544 12572 14368 22001 25088 25144 28736 44002 50176 50288 57472 88004 100576 114944 176008 201152 229888 352016 402304 459776 704032 804608 1408064 1609216 2816128 3218432 5632256 11264512 22529024