Search a number
-
+
22006406624 = 252329900009
BaseRepresentation
bin10100011111101011…
…110001110111100000
32002210122221021201012
4110133223301313200
5330032120002444
614035401400052
71406224240616
oct243753616740
962718837635
1022006406624
119373052014
124321a99028
1320c92860a7
1410ca96b6b6
1588be96b9e
hex51faf1de0

22006406624 has 24 divisors (see below), whose sum is σ = 45208815120. Its totient is φ = 10524802816.

The previous prime is 22006406623. The next prime is 22006406641. The reversal of 22006406624 is 42660460022.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22006406621) 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, 14949269 + ... + 14950740.

It is an arithmetic number, because the mean of its divisors is an integer number (1883700630).

Almost surely, 222006406624 is an apocalyptic number.

It is an amenable number.

22006406624 is an abundant number, since it is smaller than the sum of its proper divisors (23202408496).

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

22006406624 is a wasteful number, since it uses less digits than its factorization.

22006406624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29900042 (or 29900034 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 22006406624 its reverse (42660460022), we get a palindrome (64666866646).

The spelling of 22006406624 in words is "twenty-two billion, six million, four hundred six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 29900009 59800018 119600036 239200072 478400144 687700207 956800288 1375400414 2750800828 5501601656 11003203312 22006406624