Search a number
-
+
22332423240 = 23325294349747
BaseRepresentation
bin10100110011000111…
…011011110001001000
32010122101101122102200
4110303013123301020
5331214100020430
614132005200200
71420263315441
oct246307336110
963571348380
1022332423240
119520086136
1243b3100060
13214b992a2a
14111bd942c8
158aa8e4460
hex5331dbc48

22332423240 has 192 divisors, whose sum is σ = 76830811200. Its totient is φ = 5616124416.

The previous prime is 22332423193. The next prime is 22332423241. The reversal of 22332423240 is 4232423322.

It is a happy number.

22332423240 is a `hidden beast` number, since 2 + 2 + 332 + 4 + 2 + 324 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (22332423241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424047 + ... + 473793.

It is an arithmetic number, because the mean of its divisors is an integer number (400160475).

Almost surely, 222332423240 is an apocalyptic number.

22332423240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22332423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38415405600).

22332423240 is an abundant number, since it is smaller than the sum of its proper divisors (54498387960).

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

22332423240 is a wasteful number, since it uses less digits than its factorization.

22332423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49836 (or 49829 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 22332423240 its reverse (4232423322), we get a palindrome (26564846562).

The spelling of 22332423240 in words is "twenty-two billion, three hundred thirty-two million, four hundred twenty-three thousand, two hundred forty".