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22330314000 = 2432533733529
BaseRepresentation
bin10100110010111111…
…011000110100010000
32010122020102111002200
4110302333120310100
5331213030022000
614131452043200
71420236352161
oct246277306420
963566374080
1022330314000
119519975465
1243b2463500
13214b404967
14111b9a5768
158aa629500
hex532fd8d10

22330314000 has 240 divisors, whose sum is σ = 80102633520. Its totient is φ = 5793638400.

The previous prime is 22330313969. The next prime is 22330314001. The reversal of 22330314000 is 41303322.

22330314000 is a `hidden beast` number, since 2 + 233 + 0 + 31 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2198109456 + 20132204544 = 46884^2 + 141888^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22330314001) 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, 649236 + ... + 682764.

It is an arithmetic number, because the mean of its divisors is an integer number (333760973).

Almost surely, 222330314000 is an apocalyptic number.

22330314000 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 22330314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40051316760).

22330314000 is an abundant number, since it is smaller than the sum of its proper divisors (57772319520).

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

22330314000 is a wasteful number, since it uses less digits than its factorization.

22330314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33595 (or 33576 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22330314000 its reverse (41303322), we get a palindrome (22371617322).

The spelling of 22330314000 in words is "twenty-two billion, three hundred thirty million, three hundred fourteen thousand".