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13223322000 = 2432537104947
BaseRepresentation
bin11000101000010101…
…11110000110010000
31021010120000100122200
430110022332012100
5204040132301000
610024045403200
7645454245120
oct142412760620
937116010580
1013223322000
115676247599
122690569500
1313297334b5
148d629cc80
15525d66500
hex3142be190

13223322000 has 240 divisors, whose sum is σ = 52782966912. Its totient is φ = 3022444800.

The previous prime is 13223321983. The next prime is 13223322053. The reversal of 13223322000 is 22332231.

It is a happy number.

13223322000 is a `hidden beast` number, since 132 + 2 + 332 + 200 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73527 + ... + 178473.

Almost surely, 213223322000 is an apocalyptic number.

13223322000 is a gapful number since it is divisible by the number (10) 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 13223322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26391483456).

13223322000 is an abundant number, since it is smaller than the sum of its proper divisors (39559644912).

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

13223322000 is a wasteful number, since it uses less digits than its factorization.

13223322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104983 (or 104964 counting only the distinct ones).

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

Adding to 13223322000 its reverse (22332231), we get a palindrome (13245654231).

The spelling of 13223322000 in words is "thirteen billion, two hundred twenty-three million, three hundred twenty-two thousand".