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10221023022 = 237734337699
BaseRepresentation
bin10011000010011100…
…00110111100101110
3222101022122202201020
421201032012330232
5131413040214042
64410115555010
7511200155640
oct114116067456
928338582636
1010221023022
114375556971
121b92bbba66
13c6b725722
146cd658890
153ec4bb3ec
hex261386f2e

10221023022 has 64 divisors (see below), whose sum is σ = 23740147200. Its totient is φ = 2873263104.

The previous prime is 10221023017. The next prime is 10221023047. The reversal of 10221023022 is 22032012201.

It is a happy number.

10221023022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10221022992 and 10221023010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1323729 + ... + 1331427.

It is an arithmetic number, because the mean of its divisors is an integer number (370939800).

Almost surely, 210221023022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221023022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11870073600).

10221023022 is an abundant number, since it is smaller than the sum of its proper divisors (13519124178).

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

10221023022 is a wasteful number, since it uses less digits than its factorization.

10221023022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8217.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10221023022 its reverse (22032012201), we get a palindrome (32253035223).

The spelling of 10221023022 in words is "ten billion, two hundred twenty-one million, twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 433 438 511 866 1022 1299 1533 2598 3031 3066 6062 7699 9093 15398 18186 23097 31609 46194 53893 63218 94827 107786 161679 189654 221263 323358 442526 562027 663789 1124054 1327578 1686081 3333667 3372162 3934189 6667334 7868378 10001001 11802567 20002002 23335669 23605134 46671338 70007007 140014014 243357691 486715382 730073073 1460146146 1703503837 3407007674 5110511511 10221023022