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10222320000 = 27354191223
BaseRepresentation
bin10011000010100110…
…00011100110000000
3222101102002122211110
421201103003212000
5131413403220000
64410203443320
7511214200134
oct114123034600
928342078743
1010222320000
114376262352
121b93526540
13c6ba8ab79
146cd8b53c4
153ec675850
hex2614c3980

10222320000 has 320 divisors, whose sum is σ = 34261032960. Its totient is φ = 2699520000.

The previous prime is 10222319993. The next prime is 10222320001. The reversal of 10222320000 is 2322201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222320001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45839889 + ... + 45840111.

It is an arithmetic number, because the mean of its divisors is an integer number (107065728).

Almost surely, 210222320000 is an apocalyptic number.

10222320000 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 10222320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130516480).

10222320000 is an abundant number, since it is smaller than the sum of its proper divisors (24038712960).

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

10222320000 is an equidigital number, since it uses as much as digits as its factorization.

10222320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10222320000 its reverse (2322201), we get a palindrome (10224642201).

The spelling of 10222320000 in words is "ten billion, two hundred twenty-two million, three hundred twenty thousand".