Search a number
-
+
22320332232 = 233111953113743
BaseRepresentation
bin10100110010011001…
…010011110111001000
32010121112122100200120
4110302121103313020
5331203001112412
614130454103240
71420055456622
oct246231236710
963545570616
1022320332232
119514277a70
1243ab04ab20
13214931b4a3
14111a527c12
158a9806b8c
hex532653dc8

22320332232 has 256 divisors, whose sum is σ = 65952921600. Its totient is φ = 6222827520.

The previous prime is 22320332201. The next prime is 22320332233. The reversal of 22320332232 is 23223302322.

It is a super-3 number, since 3×223203322323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22320332233) 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 63 ways as a sum of consecutive naturals, for example, 30040453 + ... + 30041195.

It is an arithmetic number, because the mean of its divisors is an integer number (257628600).

Almost surely, 222320332232 is an apocalyptic number.

22320332232 is a gapful number since it is divisible by the number (22) 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 22320332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32976460800).

22320332232 is an abundant number, since it is smaller than the sum of its proper divisors (43632589368).

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

22320332232 is a wasteful number, since it uses less digits than its factorization.

22320332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 22320332232 its reverse (23223302322), we get a palindrome (45543634554).

The spelling of 22320332232 in words is "twenty-two billion, three hundred twenty million, three hundred thirty-two thousand, two hundred thirty-two".