Search a number
-
+
22414032 = 2432155653
BaseRepresentation
bin101010110000…
…0001011010000
31120011202021100
41111200023100
521214222112
62120224400
7361342014
oct125401320
946152240
1022414032
1111719aa3
12760b100
13484a154
142d96544
151e7b2dc
hex15602d0

22414032 has 30 divisors (see below), whose sum is σ = 62728562. Its totient is φ = 7471296.

The previous prime is 22414019. The next prime is 22414033. The reversal of 22414032 is 23041422.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 1838736 = 4536^2 + 1356^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22413996 and 22414014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22414033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77683 + ... + 77970.

Almost surely, 222414032 is an apocalyptic number.

It is an amenable number.

22414032 is an abundant number, since it is smaller than the sum of its proper divisors (40314530).

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

22414032 is a wasteful number, since it uses less digits than its factorization.

22414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155667 (or 155658 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22414032 is about 4734.3459949607. The cubic root of 22414032 is about 281.9507987197.

Adding to 22414032 its reverse (23041422), we get a palindrome (45455454).

The spelling of 22414032 in words is "twenty-two million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 155653 311306 466959 622612 933918 1245224 1400877 1867836 2490448 2801754 3735672 5603508 7471344 11207016 22414032