Base | Representation |
---|---|
bin | 1001010010111111111010… |
… | …1011011111001011110110 |
3 | 1100012012202202102020111000 |
4 | 2110233332223133023312 |
5 | 2314434124000304344 |
6 | 33423531051424130 |
7 | 2103341455321134 |
oct | 224577653371366 |
9 | 40165682366430 |
10 | 10222000009974 |
11 | 3291142578345 |
12 | 1191113155046 |
13 | 591c1330107c |
14 | 274a66d94754 |
15 | 12ad6e9e8a69 |
hex | 94bfeadf2f6 |
10222000009974 has 128 divisors (see below), whose sum is σ = 23452375564800. Its totient is φ = 3298217495040.
The previous prime is 10222000009973. The next prime is 10222000009993. The reversal of 10222000009974 is 47990000022201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10222000009973) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145953937 + ... + 146023955.
It is an arithmetic number, because the mean of its divisors is an integer number (183221684100).
Almost surely, 210222000009974 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10222000009974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726187782400).
10222000009974 is an abundant number, since it is smaller than the sum of its proper divisors (13230375554826).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10222000009974 is a wasteful number, since it uses less digits than its factorization.
10222000009974 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 70587 (or 70581 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The spelling of 10222000009974 in words is "ten trillion, two hundred twenty-two billion, nine thousand, nine hundred seventy-four".
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