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13322220000 = 253541737353
BaseRepresentation
bin11000110100001000…
…01111000111100000
31021101110002220012120
430122010033013200
5204240442020000
610041541224240
7651065000355
oct143204170740
937343086176
1013322220000
115717056081
1226b9702080
13134407c51b
1490548462c
1552e89e6a0
hex31a10f1e0

13322220000 has 480 divisors, whose sum is σ = 47655270432. Its totient is φ = 3244032000.

The previous prime is 13322219969. The next prime is 13322220007. The reversal of 13322220000 is 2222331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322220007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739824 + ... + 37740176.

Almost surely, 213322220000 is an apocalyptic number.

13322220000 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 13322220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23827635216).

13322220000 is an abundant number, since it is smaller than the sum of its proper divisors (34333050432).

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

13322220000 is a wasteful number, since it uses less digits than its factorization.

13322220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13322220000 its reverse (2222331), we get a palindrome (13324442331).

The spelling of 13322220000 in words is "thirteen billion, three hundred twenty-two million, two hundred twenty thousand".