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10222201344 = 29337412107
BaseRepresentation
bin10011000010100101…
…00110101000000000
3222101101212122001210
421201102212220000
5131413340420334
64410201130120
7511213164165
oct114122465000
928341778053
1010222201344
114376191193
121b93489940
13c6ba48b64
146cd88406c
153ec6505e9
hex2614a6a00

10222201344 has 240 divisors, whose sum is σ = 28935317664. Its totient is φ = 3204218880.

The previous prime is 10222201333. The next prime is 10222201349. The reversal of 10222201344 is 44310222201.

It is a self number, because there is not a number n which added to its sum of digits gives 10222201344.

It is not an unprimeable number, because it can be changed into a prime (10222201349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95534539 + ... + 95534645.

Almost surely, 210222201344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467658832).

10222201344 is an abundant number, since it is smaller than the sum of its proper divisors (18713116320).

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

10222201344 is an equidigital number, since it uses as much as digits as its factorization.

10222201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10222201344 its reverse (44310222201), we get a palindrome (54532423545).

The spelling of 10222201344 in words is "ten billion, two hundred twenty-two million, two hundred one thousand, three hundred forty-four".