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22323214000 = 2453192947431
BaseRepresentation
bin10100110010100100…
…010011011010110000
32010121202001202201201
4110302210103122300
5331204220322000
614131035540544
71420122121363
oct246244233260
963552052651
1022323214000
11951596609a
1243abbba754
132149aba089
14111aa780da
158a9bc596a
hex5329136b0

22323214000 has 320 divisors, whose sum is σ = 60167577600. Its totient is φ = 7975296000.

The previous prime is 22323213919. The next prime is 22323214003. The reversal of 22323214000 is 41232322.

It is a super-3 number, since 3×223232140003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (22323214003) 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, 51793785 + ... + 51794215.

It is an arithmetic number, because the mean of its divisors is an integer number (188023680).

Almost surely, 222323214000 is an apocalyptic number.

22323214000 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 22323214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30083788800).

22323214000 is an abundant number, since it is smaller than the sum of its proper divisors (37844363600).

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

22323214000 is a wasteful number, since it uses less digits than its factorization.

22323214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 22323214000 its reverse (41232322), we get a palindrome (22364446322).

The spelling of 22323214000 in words is "twenty-two billion, three hundred twenty-three million, two hundred fourteen thousand".