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10004222322 = 2321732693537
BaseRepresentation
bin10010101000100110…
…00101000101110010
3221211012201011001200
421110103011011302
5130442040103242
64332413112030
7502625325633
oct112423050562
927735634050
1010004222322
114274139336
121b32488616
13c358382a3
146ac94188a
153d844404c
hex2544c5172

10004222322 has 24 divisors (see below), whose sum is σ = 22950863676. Its totient is φ = 3138579456.

The previous prime is 10004222309. The next prime is 10004222329. The reversal of 10004222322 is 22322240001.

10004222322 is a `hidden beast` number, since 10 + 0 + 0 + 422 + 232 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9805158441 + 199063881 = 99021^2 + 14109^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10004222295 and 10004222304.

It is not an unprimeable number, because it can be changed into a prime (10004222329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16346463 + ... + 16347074.

Almost surely, 210004222322 is an apocalyptic number.

10004222322 is an abundant number, since it is smaller than the sum of its proper divisors (12946641354).

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

10004222322 is a wasteful number, since it uses less digits than its factorization.

10004222322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32693562 (or 32693559 counting only the distinct ones).

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

Adding to 10004222322 its reverse (22322240001), we get a palindrome (32326462323).

The spelling of 10004222322 in words is "ten billion, four million, two hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 32693537 65387074 98080611 196161222 294241833 555790129 588483666 1111580258 1667370387 3334740774 5002111161 10004222322