Search a number
-
+
22085536 = 251162743
BaseRepresentation
bin101010000111…
…1111110100000
31112120001122211
41110033332200
521123214121
62105211504
7355503214
oct124177640
945501584
1022085536
1111515210
127490b94
134763785
142d0c944
151e13ce1
hex150ffa0

22085536 has 24 divisors (see below), whose sum is σ = 47434464. Its totient is φ = 10038720.

The previous prime is 22085527. The next prime is 22085537. The reversal of 22085536 is 63558022.

It is a happy number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 22085498 and 22085507.

It is not an unprimeable number, because it can be changed into a prime (22085537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31020 + ... + 31723.

It is an arithmetic number, because the mean of its divisors is an integer number (1976436).

Almost surely, 222085536 is an apocalyptic number.

It is an amenable number.

22085536 is an abundant number, since it is smaller than the sum of its proper divisors (25348928).

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

22085536 is a wasteful number, since it uses less digits than its factorization.

22085536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62764 (or 62756 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 22085536 is about 4699.5250823886. The cubic root of 22085536 is about 280.5666077417.

It can be divided in two parts, 2208 and 5536, that added together give a square (7744 = 882).

The spelling of 22085536 in words is "twenty-two million, eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 62743 125486 250972 501944 690173 1003888 1380346 2007776 2760692 5521384 11042768 22085536