Search a number
-
+
22106224 = 247316367
BaseRepresentation
bin101010001010…
…1000001110000
31112121010001001
41110111001300
521124344344
62105451344
7355620430
oct124250160
945533031
1022106224
1111529808
1274a0b54
13477000a
142d162c0
151e19ed4
hex1515070

22106224 has 40 divisors (see below), whose sum is σ = 50536448. Its totient is φ = 9167040.

The previous prime is 22106221. The next prime is 22106233. The reversal of 22106224 is 42260122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22106221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289 + ... + 6655.

Almost surely, 222106224 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 22106224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25268224).

22106224 is an abundant number, since it is smaller than the sum of its proper divisors (28430224).

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

22106224 is a wasteful number, since it uses less digits than its factorization.

22106224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 22106224 is about 4701.7256406558. The cubic root of 22106224 is about 280.6541846754.

Adding to 22106224 its reverse (42260122), we get a palindrome (64366346).

It can be divided in two parts, 2210622 and 4, that multiplied together give a palindrome (8842488).

The spelling of 22106224 in words is "twenty-two million, one hundred six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 6367 12734 25468 44569 50936 89138 101872 178276 197377 356552 394754 713104 789508 1381639 1579016 2763278 3158032 5526556 11053112 22106224