Search a number
-
+
22431031000 = 2353753103587
BaseRepresentation
bin10100111000111111…
…100101111011011000
32010220020221102211221
4110320333211323120
5331414320443000
614145450501424
71422601421560
oct247077457330
963806842757
1022431031000
119570806654
124420134874
132166239911
14112b101da0
158b43c161a
hex538fe5ed8

22431031000 has 256 divisors, whose sum is σ = 61817333760. Its totient is φ = 7459545600.

The previous prime is 22431030977. The next prime is 22431031003. The reversal of 22431031000 is 13013422.

It is a happy number.

It is a super-2 number, since 2×224310310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22431031003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38212707 + ... + 38213293.

It is an arithmetic number, because the mean of its divisors is an integer number (241473960).

Almost surely, 222431031000 is an apocalyptic number.

22431031000 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 22431031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30908666880).

22431031000 is an abundant number, since it is smaller than the sum of its proper divisors (39386302760).

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

22431031000 is a wasteful number, since it uses less digits than its factorization.

22431031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22431031000 its reverse (13013422), we get a palindrome (22444044422).

The spelling of 22431031000 in words is "twenty-two billion, four hundred thirty-one million, thirty-one thousand".