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13222422000 = 2432535691291
BaseRepresentation
bin11000101000001111…
…00010010111110000
31021010111022122002100
430110013202113300
5204034420001000
610024014220400
7645443506164
oct142407422760
937114278070
1013222422000
115675792397
1226901b4700
1313294a9958
148d6106ca4
15525c39a00
hex3141e25f0

13222422000 has 240 divisors, whose sum is σ = 46298509920. Its totient is φ = 3517056000.

The previous prime is 13222421951. The next prime is 13222422001. The reversal of 13222422000 is 22422231.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222422001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10241355 + ... + 10242645.

It is an arithmetic number, because the mean of its divisors is an integer number (192910458).

Almost surely, 213222422000 is an apocalyptic number.

13222422000 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 13222422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23149254960).

13222422000 is an abundant number, since it is smaller than the sum of its proper divisors (33076087920).

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

13222422000 is a wasteful number, since it uses less digits than its factorization.

13222422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13222422000 its reverse (22422231), we get a palindrome (13244844231).

The spelling of 13222422000 in words is "thirteen billion, two hundred twenty-two million, four hundred twenty-two thousand".